このページ
パイナップル
このページ
概要
このページでは、パイナップルポーカーにおける最初のハンド決定の仕方を説明します。パイナップルポーカーはテキサスホールデムと似ていますが、プレイヤーは3枚のホールカードを配られ、最初のベッティングラウンドの後、フロップ前に1枚を捨てなければなりません。ターン直前に捨てる判断をするクレイジーパイナップルや、ゲームを通して3枚全てを保持するレイジーパイナップルとは違います。
このページでは、どのカードを捨てるかの判断と、各スターティングハンドのパワーについてのみ解説します。このページでは、期待値の統計情報もご覧いただけます。これは、1ユニットのアンティに対してプレイヤーが期待できるリターンの額です。例えば、期待リターンが1.000であれば、損益はゼロになります。
このページでよく目にする用語に「ペナルティ」があります。これはビデオポーカーから来ています。これは、潜在的に有利になる可能性のあるカードを捨てることを意味します。具体的には、ランクペナルティとは、スリーカードが配られた後に捨てるカードのことです。パイナップルでは、このような役は悲痛なものです。なぜなら、カードを1枚捨てなければならないからです。これは手札の価値を下げるだけでなく、デッキからペアを強化するカードが1枚減ってしまいます。スーツペナルティははるかに一般的です。捨てたカードがキープしているカードのスーツと合致する場合、フラッシュが完成する可能性が低くなります。理想的な状況は、どちらのペナルティも発生しないことです。
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仮定
このページでは、誰もフォールドもレイズもしない6人プレイを想定しています。各プレイヤーは1ユニットのアンティを支払い、最終的に最も強いハンドを持つプレイヤーが勝利します。
スリー・オブ・ア・カインド
スリー・オブ・ア・カインドを配られた場合の戦略は簡単です。任意の 2 枚のカードを保持するだけです。
次の表は、スリーオブカインドが配られたときに任意の 2 枚のカードを保持した場合に期待されるリターンを示しています。
スリーカード
| ランク | 期待される 戻る |
|---|---|
| あ | 2.425 |
| K | 1.925 |
| 質問 | 1.563 |
| J | 1.297 |
| 10 | 1.084 |
| 9 | 0.899 |
| 8 | 0.777 |
| 7 | 0.687 |
| 6 | 0.624 |
| 5 | 0.571 |
| 4 | 0.521 |
| 3 | 0.483 |
| 2 | 0.448 |
スーツペナルティのないペア
どのペアでも戦略はシンプルです。ペアを保持するだけです。
以下の表は、ペアとシングルトンが配られた場合、シングルトンがペアのどちらのカードにもスートされていない場合の、2つの有効なプレイ方法の期待リターンを示しています。ペアを保持するか、シングルトンとペアのいずれかのカードを保持するかを選択できます。表からわかるように、ペアを保持する方が常に期待値がはるかに高くなります。
スリーカード
| ランク | シングルトン | ペア | 二 シングルトン |
|---|---|---|---|
| あ | K | 2.708 | 1.289 |
| あ | 質問 | 2.719 | 1.159 |
| あ | J | 2.729 | 1.059 |
| あ | 10 | 2.740 | 0.985 |
| あ | 9 | 2.739 | 0.827 |
| あ | 8 | 2.734 | 0.785 |
| あ | 7 | 2.736 | 0.753 |
| あ | 6 | 2.737 | 0.722 |
| あ | 5 | 2.734 | 0.777 |
| あ | 4 | 2.719 | 0.753 |
| あ | 3 | 2.701 | 0.728 |
| あ | 2 | 2.674 | 0.694 |
| K | あ | 2.392 | 1.276 |
| K | 質問 | 2.224 | 1.082 |
| K | J | 2.237 | 0.999 |
| K | 10 | 2.245 | 0.936 |
| K | 9 | 2.246 | 0.784 |
| K | 8 | 2.243 | 0.683 |
| K | 7 | 2.245 | 0.661 |
| K | 6 | 2.247 | 0.641 |
| K | 5 | 2.245 | 0.622 |
| K | 4 | 2.234 | 0.603 |
| K | 3 | 2.219 | 0.582 |
| K | 2 | 2.201 | 0.562 |
| 質問 | あ | 1.999 | 1.147 |
| 質問 | K | 1.994 | 1.080 |
| 質問 | J | 1.865 | 0.975 |
| 質問 | 10 | 1.880 | 0.920 |
| 質問 | 9 | 1.876 | 0.773 |
| 質問 | 8 | 1.877 | 0.676 |
| 質問 | 7 | 1.879 | 0.592 |
| 質問 | 6 | 1.881 | 0.580 |
| 質問 | 5 | 1.880 | 0.564 |
| 質問 | 4 | 1.873 | 0.543 |
| 質問 | 3 | 1.859 | 0.525 |
| 質問 | 2 | 1.847 | 0.509 |
| J | あ | 1.702 | 1.052 |
| J | K | 1.696 | 0.998 |
| J | 質問 | 1.696 | 0.971 |
| J | 10 | 1.601 | 0.931 |
| J | 9 | 1.600 | 0.792 |
| J | 8 | 1.599 | 0.696 |
| J | 7 | 1.601 | 0.610 |
| J | 6 | 1.603 | 0.537 |
| J | 5 | 1.606 | 0.523 |
| J | 4 | 1.597 | 0.506 |
| J | 3 | 1.591 | 0.488 |
| J | 2 | 1,582 | 0.474 |
| 10 | あ | 1,466 | 0.980 |
| 10 | K | 1,465 | 0.934 |
| 10 | 質問 | 1,464 | 0.918 |
| 10 | J | 1,465 | 0.926 |
| 10 | 9 | 1,388 | 0.823 |
| 10 | 8 | 1,388 | 0.734 |
| 10 | 7 | 1,388 | 0.650 |
| 10 | 6 | 1,394 | 0.569 |
| 10 | 5 | 1,394 | 0.497 |
| 10 | 4 | 1,388 | 0.481 |
| 10 | 3 | 1,383 | 0.465 |
| 10 | 2 | 1,377 | 0.453 |
| 9 | あ | 1,284 | 0.815 |
| 9 | K | 1,288 | 0.767 |
| 9 | 質問 | 1,286 | 0.755 |
| 9 | J | 1,287 | 0.769 |
| 9 | 10 | 1,288 | 0.803 |
| 9 | 8 | 1,223 | 0.720 |
| 9 | 7 | 1,224 | 0.663 |
| 9 | 6 | 1,226 | 0.591 |
| 9 | 5 | 1,226 | 0.513 |
| 9 | 4 | 1,225 | 0.438 |
| 9 | 3 | 1,221 | 0.426 |
| 9 | 2 | 1,216 | 0.414 |
| 8 | あ | 1,159 | 0.774 |
| 8 | K | 1,159 | 0.669 |
| 8 | 質問 | 1,160 | 0.655 |
| 8 | J | 1,163 | 0.672 |
| 8 | 10 | 1,162 | 0.708 |
| 8 | 9 | 1,159 | 0.708 |
| 8 | 7 | 1,110 | 0.688 |
| 8 | 6 | 1,110 | 0.635 |
| 8 | 5 | 1,112 | 0.560 |
| 8 | 4 | 1,109 | 0.479 |
| 8 | 3 | 1,108 | 0.407 |
| 8 | 2 | 1,103 | 0.398 |
| 7 | あ | 1,059 | 0.739 |
| 7 | K | 1,063 | 0.649 |
| 7 | 質問 | 1,066 | 0.577 |
| 7 | J | 1,068 | 0.584 |
| 7 | 10 | 1,069 | 0.620 |
| 7 | 9 | 1,062 | 0.643 |
| 7 | 8 | 1,065 | 0.673 |
| 7 | 6 | 1,021 | 0.661 |
| 7 | 5 | 1,027 | 0.609 |
| 7 | 4 | 1,024 | 0.532 |
| 7 | 3 | 1,024 | 0.451 |
| 7 | 2 | 1,022 | 0.383 |
| 6 | あ | 0.989 | 0.713 |
| 6 | K | 0.994 | 0.629 |
| 6 | 質問 | 0.994 | 0.564 |
| 6 | J | 1,000 | 0.515 |
| 6 | 10 | 1,000 | 0.541 |
| 6 | 9 | 0.997 | 0.568 |
| 6 | 8 | 0.996 | 0.617 |
| 6 | 7 | 0.995 | 0。650 |
| 6 | 5 | 0.962 | 0.643 |
| 6 | 4 | 0.961 | 0.584 |
| 6 | 3 | 0.959 | 0.508 |
| 6 | 2 | 0.960 | 0.429 |
| 5 | あ | 0.931 | 0.775 |
| 5 | K | 0.935 | 0.613 |
| 5 | 質問 | 0.937 | 0.552 |
| 5 | J | 0.939 | 0.507 |
| 5 | 10 | 0.943 | 0.476 |
| 5 | 9 | 0.940 | 0.494 |
| 5 | 8 | 0.940 | 0.543 |
| 5 | 7 | 0.940 | 0.597 |
| 5 | 6 | 0.937 | 0.635 |
| 5 | 4 | 0.911 | 0.633 |
| 5 | 3 | 0.906 | 0.571 |
| 5 | 2 | 0.909 | 0.500 |
| 4 | あ | 0.882 | 0.749 |
| 4 | K | 0.887 | 0.590 |
| 4 | 質問 | 0.891 | 0.530 |
| 4 | J | 0.891 | 0.487 |
| 4 | 10 | 0.893 | 0.458 |
| 4 | 9 | 0.894 | 0.420 |
| 4 | 8 | 0.891 | 0.460 |
| 4 | 7 | 0.895 | 0.514 |
| 4 | 6 | 0.891 | 0.570 |
| 4 | 5 | 0.891 | 0.623 |
| 4 | 3 | 0.866 | 0.534 |
| 4 | 2 | 0.864 | 0.478 |
| 3 | あ | 0.843 | 0.723 |
| 3 | K | 0.848 | 0.568 |
| 3 | 質問 | 0.850 | 0.509 |
| 3 | J | 0.852 | 0.467 |
| 3 | 10 | 0.853 | 0.440 |
| 3 | 9 | 0.851 | 0.404 |
| 3 | 8 | 0.854 | 0.386 |
| 3 | 7 | 0.853 | 0.429 |
| 3 | 6 | 0.853 | 0.488 |
| 3 | 5 | 0.851 | 0.556 |
| 3 | 4 | 0.851 | 0.525 |
| 3 | 2 | 0.829 | 0.440 |
| 2 | あ | 0.816 | 0.683 |
| 2 | K | 0.818 | 0.544 |
| 2 | 質問 | 0.823 | 0.489 |
| 2 | J | 0.823 | 0.445 |
| 2 | 10 | 0.826 | 0.421 |
| 2 | 9 | 0.824 | 0.386 |
| 2 | 8 | 0.823 | 0.374 |
| 2 | 7 | 0.826 | 0.360 |
| 2 | 6 | 0.824 | 0.403 |
| 2 | 5 | 0.824 | 0.478 |
| 2 | 4 | 0.823 | 0.459 |
| 2 | 3 | 0.821 | 0.431 |
スーツペナルティ付きペア
どのペアでも戦略はシンプルです。ペアを保持するだけです。
以下の表は、ペアとシングルトンが配られた場合、シングルトンがペアの片方のカードと同じスーテッドである場合の、3つの可能なプレイすべてに対する期待リターンを示しています。スーテッドは良くありません。なぜなら、ペアを持っている場合、フラッシュが完成する確率が低くなるからです。表からわかるように、ペアを持っている場合の期待値は、常に圧倒的に高いです。
スリーカード
| ランク | シングルトン | ペア | スーツ シングルトン | 不適格 シングルトン |
|---|---|---|---|---|
| あ | K | 2.678 | 1.496 | 1.272 |
| あ | 質問 | 2.690 | 1.379 | 1.143 |
| あ | J | 2.704 | 1.287 | 1.045 |
| あ | 10 | 2.714 | 1.224 | 0.975 |
| あ | 9 | 2.712 | 1.080 | 0.820 |
| あ | 8 | 2.707 | 1.042 | 0.777 |
| あ | 7 | 2.708 | 1.013 | 0.745 |
| あ | 6 | 2.710 | 0.986 | 0.713 |
| あ | 5 | 2.708 | 1.037 | 0.768 |
| あ | 4 | 2.691 | 1.014 | 0.744 |
| あ | 3 | 2.672 | 0.995 | 0.722 |
| あ | 2 | 2.650 | 0.962 | 0.687 |
| K | あ | 2.378 | 1.485 | 1.250 |
| K | 質問 | 2.205 | 1.300 | 1.072 |
| K | J | 2.214 | 1.221 | 0.986 |
| K | 10 | 2.222 | 1.168 | 0.926 |
| K | 9 | 2.223 | 1.026 | 0.773 |
| K | 8 | 2.224 | 0.936 | 0.675 |
| K | 7 | 2.224 | 0.915 | 0.652 |
| K | 6 | 2.226 | 0.899 | 0.635 |
| K | 5 | 2.226 | 0.884 | 0.618 |
| K | 4 | 2.210 | 0.863 | 0.594 |
| K | 3 | 2.198 | 0.846 | 0.576 |
| K | 2 | 2.181 | 0.828 | 0.557 |
| 質問 | あ | 1.984 | 1.367 | 1.119 |
| 質問 | K | 1.980 | 1.295 | 1.057 |
| 質問 | J | 1.849 | 1.192 | 0.961 |
| 質問 | 10 | 1.858 | 1.145 | 0.911 |
| 質問 | 9 | 1.856 | 1.007 | 0.762 |
| 質問 | 8 | 1.858 | 0.921 | 0.668 |
| 質問 | 7 | 1.865 | 0.848 | 0.587 |
| 質問 | 6 | 1.858 | 0.834 | 0.573 |
| 質問 | 5 | 1.860 | 0.822 | 0.558 |
| 質問 | 4 | 1.854 | 0.803 | 0.539 |
| 質問 | 3 | 1.841 | 0.787 | 0.521 |
| 質問 | 2 | 1.828 | 0.769 | 0.503 |
| J | あ | 1.686 | 1.280 | 1.024 |
| 私 | K | 1,687 | 1,221 | 0.975 |
| 私 | 質問 | 1,684 | 1,189 | 0.953 |
| 私 | 10 | 1,587 | 1,150 | 0.922 |
| 私 | 9 | 1,582 | 1,019 | 0.781 |
| 私 | 8 | 1,584 | 0.936 | 0.689 |
| 私 | 7 | 1,585 | 0.856 | 0.603 |
| 私 | 6 | 1,592 | 0.784 | 0.529 |
| 私 | 5 | 1,589 | 0.777 | 0.518 |
| 私 | 4 | 1,584 | 0.758 | 0.500 |
| 私 | 3 | 1,576 | 0.744 | 0.483 |
| 私 | 2 | 1,566 | 0.730 | 0.468 |
| 10 | もっている | 1,459 | 1,220 | 0.957 |
| 10 | K | 1,454 | 1,169 | 0.917 |
| 10 | 質問 | 1,456 | 1,144 | 0.901 |
| 10 | 私 | 1,456 | 1,145 | 0.912 |
| 10 | 9 | 1,371 | 1,048 | 0.816 |
| 10 | 8 | 1,372 | 0.962 | 0.724 |
| 10 | 7 | 1,374 | 0.885 | 0.641 |
| 10 | 6 | 1,378 | 0.813 | 0.562 |
| 10 | 5 | 1,383 | 0.744 | 0.490 |
| 10 | 4 | 1,374 | 0.733 | 0.476 |
| 10 | 3 | 1,369 | 0.717 | 0.460 |
| 10 | 2 | 1,364 | 0.703 | 0.447 |
| 9 | もっている | 1,276 | 1,068 | 0.792 |
| 9 | K | 1,275 | 1.011 | 0.746 |
| 9 | 質問 | 1,278 | 0.992 | 0.737 |
| 9 | 私 | 1,280 | 0.999 | 0.754 |
| 9 | 10 | 1,280 | 1,027 | 0.789 |
| 9 | 8 | 1,212 | 0.949 | 0.713 |
| 9 | 7 | 1,212 | 0.896 | 0.656 |
| 9 | 6 | 1,213 | 0.827 | 0.583 |
| 9 | 5 | 1,214 | 0.757 | 0.507 |
| 9 | 4 | 1,215 | 0.688 | 0.433 |
| 9 | 3 | 1,210 | 0.676 | 0.422 |
| 9 | 2 | 1,205 | 0.661 | 0.407 |
| 8 | もっている | 1,148 | 1,029 | 0.748 |
| 8 | K | 1,149 | 0.923 | 0.652 |
| 8 | 質問 | 1,154 | 0.902 | 0.639 |
| 8 | 私 | 1,155 | 0.911 | 0.658 |
| 8 | 10 | 1,153 | 0.939 | 0.695 |
| 8 | 9 | 1,150 | 0.934 | 0.694 |
| 8 | 7 | 1,099 | 0.915 | 0.678 |
| 8 | 6 | 1.101 | 0.866 | 0.627 |
| 8 | 5 | 1.102 | 0.799 | 0.556 |
| 8 | 4 | 1,100 | 0.722 | 0.474 |
| 8 | 3 | 1,097 | 0.653 | 0.401 |
| 8 | 2 | 1,094 | 0。644 | 0.394 |
| 7 | あ | 1,053 | 1,000 | 0.715 |
| 7 | K | 1,054 | 0.904 | 0.627 |
| 7 | 質問 | 1,058 | 0.829 | 0.560 |
| 7 | J | 1,059 | 0.831 | 0.570 |
| 7 | 10 | 1,062 | 0.862 | 0.612 |
| 7 | 9 | 1,057 | 0.878 | 0.633 |
| 7 | 8 | 1,054 | 0.902 | 0.663 |
| 7 | 6 | 1,016 | 0.889 | 0.655 |
| 7 | 5 | 1,016 | 0.841 | 0.605 |
| 7 | 4 | 1,014 | 0.763 | 0.524 |
| 7 | 3 | 1,014 | 0.689 | 0.445 |
| 7 | 2 | 1,013 | 0.625 | 0.379 |
| 6 | あ | 0.984 | 0.975 | 0.688 |
| 6 | K | 0.985 | 0.888 | 0.610 |
| 6 | 質問 | 0.988 | 0.820 | 0.549 |
| 6 | J | 0.991 | 0.768 | 0.503 |
| 6 | 10 | 0.992 | 0.785 | 0.529 |
| 6 | 9 | 0.988 | 0.808 | 0.558 |
| 6 | 8 | 0.988 | 0.848 | 0.606 |
| 6 | 7 | 0.986 | 0.877 | 0.641 |
| 6 | 5 | 0.953 | 0.868 | 0.637 |
| 6 | 4 | 0.952 | 0.811 | 0.577 |
| 6 | 3 | 0.950 | 0.737 | 0.500 |
| 6 | 2 | 0.949 | 0.663 | 0.424 |
| 5 | あ | 0.924 | 1,037 | 0.752 |
| 5 | K | 0.930 | 0.876 | 0.596 |
| 5 | 質問 | 0.931 | 0.811 | 0.538 |
| 5 | J | 0.933 | 0.760 | 0.494 |
| 5 | 10 | 0.939 | 0.725 | 0.464 |
| 5 | 9 | 0.936 | 0.740 | 0.484 |
| 5 | 8 | 0.931 | 0.783 | 0.535 |
| 5 | 7 | 0.933 | 0.827 | 0.587 |
| 5 | 6 | 0.930 | 0.859 | 0.626 |
| 5 | 4 | 0.900 | 0.855 | 0.627 |
| 5 | 3 | 0.900 | 0.798 | 0.568 |
| 5 | 2 | 0.902 | 0.727 | 0.496 |
| 4 | あ | 0.876 | 1,011 | 0.726 |
| 4 | K | 0.880 | 0.856 | 0.573 |
| 4 | 質問 | 0.884 | 0.792 | 0.516 |
| 4 | J | 0.885 | 0.742 | 0.473 |
| 4 | 10 | 0.886 | 0.712 | 0.449 |
| 4 | 9 | 0.888 | 0.670 | 0.410 |
| 4 | 8 | 0.887 | 0.704 | 0.452 |
| 4 | 7 | 0.886 | 0.749 | 0.505 |
| 4 | 6 | 0.884 | 0.796 | 0.561 |
| 4 | 5 | 0.883 | 0.848 | 0.618 |
| 4 | 3 | 0.859 | 0。759 | 0.530 |
| 4 | 2 | 0.858 | 0.704 | 0.474 |
| 3 | あ | 0.839 | 0.989 | 0.699 |
| 3 | K | 0.840 | 0.834 | 0.549 |
| 3 | 質問 | 0.846 | 0.771 | 0.494 |
| 3 | J | 0.847 | 0.724 | 0.453 |
| 3 | 10 | 0.849 | 0.694 | 0.429 |
| 3 | 9 | 0.846 | 0.656 | 0.394 |
| 3 | 8 | 0.848 | 0.634 | 0.378 |
| 3 | 7 | 0.846 | 0.669 | 0.421 |
| 3 | 6 | 0.846 | 0.721 | 0.481 |
| 3 | 5 | 0.845 | 0.781 | 0.549 |
| 3 | 4 | 0.843 | 0.749 | 0.518 |
| 3 | 2 | 0.822 | 0.667 | 0.436 |
| 2 | あ | 0.811 | 0.954 | 0.660 |
| 2 | K | 0.813 | 0.813 | 0.526 |
| 2 | 質問 | 0.816 | 0.751 | 0.472 |
| 2 | J | 0.817 | 0.707 | 0.434 |
| 2 | 10 | 0.819 | 0.675 | 0.410 |
| 2 | 9 | 0.816 | 0.640 | 0.377 |
| 2 | 8 | 0.819 | 0.623 | 0.366 |
| 2 | 7 | 0.818 | 0.603 | 0.352 |
| 2 | 6 | 0.816 | 0.641 | 0.397 |
| 2 | 5 | 0.819 | 0.704 | 0.470 |
| 2 | 4 | 0.817 | 0.687 | 0.454 |
| 2 | 3 | 0.815 | 0.660 | 0.427 |
3つのスーツ付きシングルトン
以下の表は、3枚のスーツド・シングルトンが配られた場合の、3通りのプレイ方法すべてにおける期待リターンを示しています。ほとんどの場合、最も低いカードを捨てるのが最善のプレイです。しかし、すべてのカードが低い数字で、最も低い2枚のカードが近い数字で、最も高いカードがそうでない場合は、最も低い2枚のカードを出してストレートを狙うこともあります。
3つのスーツ付きシングルトン
| 手 | 破棄 | 期待される 戻る 中高 | 期待される 戻る 低と高 | 期待される 戻る 低中級 |
|---|---|---|---|---|
| AKQ | 質問 | 1.541 | 1.443 | 1.405 |
| AKJ | J | 1.550 | 1.325 | 1.305 |
| AK-10 | 10 | 1.550 | 1.240 | 1.230 |
| AK-9 | 9 | 1.559 | 1.102 | 1.093 |
| AK-8 | 8 | 1.548 | 1.053 | 0.988 |
| AK-7 | 7 | 1.557 | 1.016 | 0.967 |
| AK-6 | 6 | 1.551 | 0.986 | 0.942 |
| AK-5 | 5 | 1.559 | 1.031 | 0.924 |
| AK-4 | 4 | 1.554 | 1.012 | 0.903 |
| AK-3 | 3 | 1.543 | 0.987 | 0.885 |
| AK-2 | 2 | 1.536 | 0.955 | 0.865 |
| AQJ | J | 1.402 | 1.325 | 1.245 |
| AQ-10 | 10 | 1.399 | 1.238 | 1.185 |
| AQ-9 | 9 | 1.415 | 1.099 | 1.055 |
| AQ-8 | 8 | 1.414 | 1.054 | 0.957 |
| AQ-7 | 7 | 1.412 | 1.018 | 0.885 |
| AQ-6 | 6 | 1.417 | 0.987 | 0.870 |
| AQ-5 | 5 | 1.418 | 1.032 | 0.852 |
| AQ-4 | 4 | 1.411 | 1.009 | 0.831 |
| AQ-3 | 3 | 1.405 | 0.987 | 0.814 |
| AQ-2 | 2 | 1.398 | 0.954 | 0.800 |
| AJ-10 | 10 | 1.298 | 1.238 | 1.174 |
| AJ-9 | 9 | 1.307 | 1.099 | 1.048 |
| AJ-8 | 8 | 1.306 | 1.052 | 0.952 |
| AJ-7 | 7 | 1.305 | 1.021 | 0.877 |
| AJ-6 | 6 | 1.307 | 0.990 | 0.813 |
| AJ-5 | 5 | 1.310 | 1.028 | 0.798 |
| AJ-4 | 4 | 1.306 | 1.013 | 0.780 |
| AJ-3 | 3 | 1.305 | 0.989 | 0.767 |
| AJ-2 | 2 | 1.295 | 0.956 | 0.752 |
| A-10-9 | 9 | 1.228 | 1.099 | 1.068 |
| A-10-8 | 8 | 1.229 | 1.054 | 0.979 |
| A-10-7 | 7 | 1.227 | 1.015 | 0.895 |
| A-10-6 | 6 | 1.233 | 0.992 | 0.828 |
| A-10-5 | 5 | 1.234 | 1.037 | 0.764 |
| A-10-4 | 4 | 1.229 | 1.010 | 0。747 |
| A-10-3 | 3 | 1.225 | 0.990 | 0.735 |
| A-10-2 | 2 | 1.223 | 0.959 | 0.722 |
| A-9-8 | 8 | 1.078 | 1.046 | 0.969 |
| A-9-7 | 7 | 1.079 | 1.015 | 0.915 |
| A-9-6 | 6 | 1.079 | 0.985 | 0.845 |
| A-9-5 | 5 | 1.083 | 1.031 | 0.779 |
| A-9-4 | 4 | 1.077 | 1.010 | 0.709 |
| A-9-3 | 3 | 1.079 | 0.989 | 0.704 |
| A-9-2 | 2 | 1.070 | 0.951 | 0.686 |
| A-8-7 | 7 | 1.032 | 1.010 | 0.926 |
| A-8-6 | 6 | 1.031 | 0.982 | 0.880 |
| A-8-5 | 5 | 1.034 | 1.026 | 0.814 |
| A-8-4 | 4 | 1.037 | 1.011 | 0.739 |
| A-8-3 | 3 | 1.034 | 0.990 | 0.679 |
| A-8-2 | 2 | 1.025 | 0.953 | 0.670 |
| A-7-6 | 6 | 0.997 | 0.978 | 0.904 |
| A-7-5 | 7 | 1.000 | 1.028 | 0.854 |
| A-7-4 | 7 | 1.003 | 1.009 | 0.783 |
| A-7-3 | 3 | 0.998 | 0.988 | 0.710 |
| A-7-2 | 2 | 0.996 | 0.962 | 0.650 |
| A-6-5 | 6 | 0.971 | 1.025 | 0.883 |
| A-6-4 | 6 | 0.973 | 1.005 | 0.829 |
| A-6-3 | 6 | 0.970 | 0.986 | 0.762 |
| A-6-2 | 2 | 0.969 | 0.961 | 0.688 |
| A-5-4 | 4 | 1.003 | 0.990 | 0.855 |
| A-5-3 | 3 | 1.003 | 0.971 | 0.800 |
| A-5-2 | 2 | 1.001 | 0.944 | 0.731 |
| A-4-3 | 3 | 0.981 | 0.967 | 0.766 |
| A-4-2 | 2 | 0.982 | 0.941 | 0.713 |
| A-3-2 | 2 | 0.959 | 0.937 | 0.686 |
| KQJ | J | 1.300 | 1.239 | 1.234 |
| KQ-10 | 10 | 1.303 | 1.166 | 1.170 |
| KQ-9 | 9 | 1.316 | 1.030 | 1.045 |
| KQ-8 | 8 | 1.324 | 0.950 | 0.961 |
| KQ-7 | 7 | 1.321 | 0.923 | 0.878 |
| KQ-6 | 6 | 1.324 | 0.904 | 0.867 |
| KQ-5 | 5 | 1.326 | 0.886 | 0.852 |
| KQ-4 | 4 | 1.321 | 0.868 | 0.836 |
| KQ-3 | 3 | 1.316 | 0.844 | 0.816 |
| KQ-2 | 2 | 1.309 | 0.829 | 0.801 |
| KJ-10 | 10 | 1.216 | 1.170 | 1.159 |
| KJ-9 | 9 | 1.227 | 1.033 | 1.038 |
| KJ-8 | 8 | 1.239 | 0.953 | 0.964 |
| KJ-7 | 7 | 1.239 | 0.930 | 0.880 |
| KJ-6 | 6 | 1.235 | 0.906 | 0。813 |
| KJ-5 | 5 | 1.239 | 0.891 | 0.804 |
| KJ-4 | 4 | 1.232 | 0.864 | 0.780 |
| KJ-3 | 3 | 1.227 | 0.849 | 0.769 |
| KJ-2 | 2 | 1.223 | 0.830 | 0.752 |
| K-10-9 | 9 | 1.156 | 1.027 | 1.046 |
| K-10-8 | 8 | 1.172 | 0.952 | 0.981 |
| K-10-7 | 7 | 1.170 | 0.927 | 0.899 |
| K-10-6 | 6 | 1.174 | 0.907 | 0.825 |
| K-10-5 | 5 | 1.173 | 0.888 | 0.763 |
| K-10-4 | 4 | 1.169 | 0.867 | 0.747 |
| K-10-3 | 3 | 1.167 | 0.851 | 0.736 |
| K-10-2 | 2 | 1.164 | 0.831 | 0.721 |
| K-9-8 | 8 | 1.017 | 0.946 | 0.976 |
| K-9-7 | 7 | 1.023 | 0.925 | 0.914 |
| K-9-6 | 6 | 1.018 | 0.901 | 0.845 |
| K-9-5 | 5 | 1.023 | 0.888 | 0.779 |
| K-9-4 | 4 | 1.023 | 0.869 | 0.714 |
| K-9-3 | 3 | 1.016 | 0.849 | 0.701 |
| K-9-2 | 2 | 1.014 | 0.832 | 0.689 |
| K-8-7 | K | 0.931 | 0.917 | 0.933 |
| K-8-6 | 6 | 0.931 | 0.897 | 0.882 |
| K-8-5 | 5 | 0.935 | 0.884 | 0.816 |
| K-8-4 | 4 | 0.934 | 0.866 | 0.745 |
| K-8-3 | 3 | 0.930 | 0.848 | 0.682 |
| K-8-2 | 2 | 0.927 | 0.826 | 0.675 |
| K-7-6 | 6 | 0.906 | 0.894 | 0.901 |
| K-7-5 | 5 | 0.908 | 0.880 | 0.857 |
| K-7-4 | 4 | 0.908 | 0.866 | 0.785 |
| K-7-3 | 3 | 0.907 | 0.848 | 0.714 |
| K-7-2 | 2 | 0.905 | 0.833 | 0.655 |
| K-6-5 | 5 | 0.883 | 0.874 | 0.880 |
| K-6-4 | 4 | 0.883 | 0.859 | 0.824 |
| K-6-3 | 3 | 0.888 | 0.846 | 0.760 |
| K-6-2 | 2 | 0.886 | 0.831 | 0.689 |
| K-5-4 | K | 0.868 | 0.856 | 0.871 |
| K-5-3 | 3 | 0.870 | 0.843 | 0.817 |
| K-5-2 | 2 | 0.868 | 0.827 | 0.750 |
| K-4-3 | 3 | 0.850 | 0.840 | 0.784 |
| K-4-2 | 2 | 0.847 | 0.822 | 0.728 |
| K-3-2 | 2 | 0.828 | 0.818 | 0.699 |
| QJ-10 | 10 | 1.156 | 1.119 | 1.142 |
| QJ-9 | 9 | 1.174 | 0.995 | 1.022 |
| QJ-8 | 8 | 1.181 | 0.914 | 0.948 |
| QJ-7 | 7 | 1.199 | 0.859 | 0.881 |
| QJ-6 | 6 | 1.191 | 0.842 | 0。810 |
| QJ-5 | 5 | 1.198 | 0.826 | 0.801 |
| QJ-4 | 4 | 1.190 | 0.806 | 0.781 |
| QJ-3 | 3 | 1.186 | 0.786 | 0.763 |
| QJ-2 | 2 | 1.182 | 0.775 | 0.755 |
| Q-10-9 | 9 | 1.114 | 0.993 | 1.034 |
| Q-10-8 | 8 | 1.126 | 0.912 | 0.963 |
| Q-10-7 | 7 | 1.141 | 0.854 | 0.900 |
| Q-10-6 | 6 | 1.143 | 0.841 | 0.824 |
| Q-10-5 | 5 | 1.139 | 0.825 | 0.763 |
| Q-10-4 | 4 | 1.140 | 0.808 | 0.746 |
| Q-10-3 | 3 | 1.140 | 0.793 | 0.734 |
| Q-10-2 | 2 | 1.134 | 0.779 | 0.725 |
| Q-9-8 | 8 | 0.981 | 0.911 | 0.960 |
| Q-9-7 | 7 | 0.998 | 0.846 | 0.915 |
| Q-9-6 | 6 | 0.997 | 0.840 | 0.841 |
| Q-9-5 | 5 | 0.997 | 0.826 | 0.777 |
| Q-9-4 | 4 | 0.999 | 0.810 | 0.712 |
| Q-9-3 | 3 | 0.997 | 0.793 | 0.704 |
| Q-9-2 | 2 | 0.993 | 0.775 | 0.692 |
| Q-8-7 | 質問 | 0.906 | 0.843 | 0.938 |
| Q-8-6 | 6 | 0.910 | 0.833 | 0.883 |
| Q-8-5 | 5 | 0.909 | 0.821 | 0.818 |
| Q-8-4 | 4 | 0.909 | 0.805 | 0.742 |
| Q-8-3 | 3 | 0.908 | 0.792 | 0.682 |
| Q-8-2 | 2 | 0.906 | 0.773 | 0.672 |
| Q-7-6 | 質問 | 0.837 | 0.833 | 0.913 |
| Q-7-5 | 質問 | 0.836 | 0.816 | 0.860 |
| Q-7-4 | 4 | 0.839 | 0.806 | 0.788 |
| Q-7-3 | 3 | 0.840 | 0.788 | 0.715 |
| Q-7-2 | 2 | 0.832 | 0.773 | 0.655 |
| Q-6-5 | 質問 | 0.821 | 0.813 | 0.883 |
| Q-6-4 | 質問 | 0.826 | 0.801 | 0.830 |
| Q-6-3 | 3 | 0.823 | 0.786 | 0.761 |
| Q-6-2 | 2 | 0.824 | 0.774 | 0.690 |
| Q-5-4 | 質問 | 0.808 | 0.794 | 0.873 |
| Q-5-3 | 質問 | 0.806 | 0.781 | 0.817 |
| Q-5-2 | 2 | 0.808 | 0.770 | 0.750 |
| Q-4-3 | 3 | 0.789 | 0.782 | 0.785 |
| Q-4-2 | 2 | 0.789 | 0.768 | 0.732 |
| Q-3-2 | 2 | 0.777 | 0.767 | 0.703 |
| J-10-9 | 9 | 1.094 | 0.979 | 1.021 |
| J-10-8 | 8 | 1.112 | 0.911 | 0.955 |
| J-10-7 | 7 | 1.122 | 0.839 | 0.886 |
| J-10-6 | 6 | 1.140 | 0.792 | 0.829 |
| J-10-5 | 5 | 1.136 | 0.781 | 0。762 |
| D-10-4 | 4 | 1.132 | 0.763 | 0.745 |
| D-10-3 | 3 | 1,132 | 0.749 | 0.730 |
| D-10-2 | 2 | 1,129 | 0.734 | 0.721 |
| D-9-8 | 8 | 0.974 | 0.903 | 0.946 |
| D-9-7 | 7 | 0.991 | 0.841 | 0.907 |
| D-9-6 | 6 | 1.006 | 0.791 | 0.853 |
| D-9-5 | 5 | 1,000 | 0.778 | 0.777 |
| D-9-4 | 4 | 1,000 | 0.764 | 0.711 |
| D-9-3 | 3 | 0.997 | 0.744 | 0.700 |
| D-9-2 | 2 | 0.998 | 0.731 | 0.689 |
| D-8-7 | 私 | 0.902 | 0.836 | 0.928 |
| D-8-6 | 6 | 0.917 | 0.785 | 0.888 |
| D-8-5 | 5 | 0.920 | 0.776 | 0.817 |
| D-8-4 | 4 | 0.918 | 0.758 | 0.741 |
| D-8-3 | 3 | 0.913 | 0.743 | 0.679 |
| D-8-2 | 2 | 0.916 | 0.730 | 0.672 |
| D-7-6 | 私 | 0.836 | 0.781 | 0.913 |
| D-7-5 | 私 | 0.838 | 0.771 | 0.858 |
| D-7-4 | 4 | 0.839 | 0.756 | 0.786 |
| D-7-3 | 3 | 0.837 | 0.739 | 0.710 |
| D-7-2 | 2 | 0.839 | 0.734 | 0.655 |
| D-6-5 | 私 | 0.778 | 0.773 | 0.890 |
| D-6-4 | 私 | 0.775 | 0.756 | 0.833 |
| D-6-3 | 3 | 0.775 | 0.740 | 0.766 |
| D-6-2 | 2 | 0.776 | 0.732 | 0.691 |
| D-5-4 | 私 | 0.765 | 0.756 | 0.875 |
| D-5-3 | 私 | 0.765 | 0.738 | 0.814 |
| D-5-2 | 2 | 0.762 | 0.725 | 0.749 |
| D-4-3 | 私 | 0.751 | 0.743 | 0.788 |
| D-4-2 | 2 | 0.749 | 0.729 | 0.731 |
| D-3-2 | 2 | 0.734 | 0.725 | 0.702 |
| 10-9-8 | 8 | 0.982 | 0.915 | 0.929 |
| 10-9-7 | 7 | 0.997 | 0.850 | 0.887 |
| 10-9-6 | 6 | 1.007 | 0.792 | 0.833 |
| 10-9-5 | 5 | 1.025 | 0.744 | 0.780 |
| 10-9-4 | 4 | 1,023 | 0.733 | 0.710 |
| 10-9-3 | 3 | 1,017 | 0.715 | 0.696 |
| 10-9-2 | 2 | 1,018 | 0.705 | 0.687 |
| 10-8-7 | 7 | 0.916 | 0.852 | 0.911 |
| 10-8-6 | 6 | 0.932 | 0.792 | 0.873 |
| 10-8-5 | 5 | 0.942 | 0.743 | 0.817 |
| 10-8-4 | 4 | 0.938 | 0.729 | 0.737 |
| 10-8-3 | 3 | 0.943 | 0.722 | 0.680 |
| 10-8-2 | 2 | 0.938 | 0.705 | 0.670 |
| 10-7-6 | 10 | 0.853 | 0.788 | 0。901 |
| 10-7-5 | 5 | 0.863 | 0.736 | 0.858 |
| 10-7-4 | 4 | 0.864 | 0.728 | 0.783 |
| 10-7-3 | 3 | 0.867 | 0.717 | 0.709 |
| 10-7-2 | 2 | 0.865 | 0.709 | 0.654 |
| 10-6-5 | 10 | 0.793 | 0.738 | 0.892 |
| 10-6-4 | 10 | 0.792 | 0.727 | 0.827 |
| 10-6-3 | 3 | 0.794 | 0.714 | 0.762 |
| 10-6-2 | 2 | 0.790 | 0.700 | 0.687 |
| 10-5-4 | 10 | 0.733 | 0.724 | 0.876 |
| 10-5-3 | 10 | 0.732 | 0.711 | 0.822 |
| 10-5-2 | 10 | 0.733 | 0.700 | 0.753 |
| 10-4-3 | 10 | 0.718 | 0.709 | 0.784 |
| 10-4-2 | 10 | 0.720 | 0.700 | 0.734 |
| 10-3-2 | 2 | 0.706 | 0.699 | 0.702 |
| 9-8-7 | 7 | 0.898 | 0.856 | 0.897 |
| 9-8-6 | 6 | 0.910 | 0.800 | 0.857 |
| 9-8-5 | 5 | 0.925 | 0.748 | 0.806 |
| 9-8-4 | 4 | 0.941 | 0.698 | 0.746 |
| 9-8-3 | 3 | 0.934 | 0.682 | 0.677 |
| 9-8-2 | 2 | 0.929 | 0.673 | 0.669 |
| 9-7-6 | 9 | 0.858 | 0.800 | 0.886 |
| 9-7-5 | 5 | 0.869 | 0.744 | 0.847 |
| 9-7-4 | 4 | 0.883 | 0.689 | 0.788 |
| 9-7-3 | 3 | 0.881 | 0.680 | 0.710 |
| 9-7-2 | 2 | 0.879 | 0.670 | 0.651 |
| 9-6-5 | 9 | 0.802 | 0.743 | 0.881 |
| 9-6-4 | 9 | 0.816 | 0.690 | 0.831 |
| 9-6-3 | 3 | 0.814 | 0.680 | 0.759 |
| 9-6-2 | 2 | 0.816 | 0.668 | 0.688 |
| 9-5-4 | 9 | 0.748 | 0.689 | 0.882 |
| 9-5-3 | 9 | 0.746 | 0.676 | 0.817 |
| 9-5-2 | 9 | 0.750 | 0.669 | 0.752 |
| 9-4-3 | 9 | 0.683 | 0.676 | 0.792 |
| 9-4-2 | 9 | 0.685 | 0.668 | 0.736 |
| 9-3-2 | 9 | 0.672 | 0.666 | 0.704 |
| 8-7-6 | 8 | 0.864 | 0.825 | 0.869 |
| 8-7-5 | 5 | 0.875 | 0.772 | 0.832 |
| 8-7-4 | 4 | 0.890 | 0.712 | 0.773 |
| 8-7-3 | 3 | 0.907 | 0.665 | 0.715 |
| 8-7-2 | 2 | 0.902 | 0.657 | 0.653 |
| 8-6-5 | 8 | 0.831 | 0.771 | 0.866 |
| 8-6-4 | 4 | 0.842 | 0.710 | 0.816 |
| 8-6-3 | 3 | 0.855 | 0.661 | 0.762 |
| 8-6-2 | 2 | 0.855 | 0.654 | 0.689 |
| 8-5-4 | 8 | 0.775 | 0.706 | 0。864 |
| 8-5-3 | 8 | 0.791 | 0.658 | 0.823 |
| 8-5-2 | 2 | 0.786 | 0.652 | 0.748 |
| 8-4-3 | 8 | 0.717 | 0.657 | 0.796 |
| 8-4-2 | 8 | 0.717 | 0.652 | 0.733 |
| 8-3-2 | 8 | 0.653 | 0.652 | 0.709 |
| 7-6-5 | 7 | 0.841 | 0.802 | 0.849 |
| 7-6-4 | 4 | 0.852 | 0.740 | 0.800 |
| 7-6-3 | 3 | 0.868 | 0.683 | 0.746 |
| 7-6-2 | 2 | 0.882 | 0.637 | 0.693 |
| 7-5-4 | 7 | 0.804 | 0.742 | 0.852 |
| 7-5-3 | 3 | 0.819 | 0.680 | 0.808 |
| 7-5-2 | 2 | 0.836 | 0.636 | 0.753 |
| 7-4-3 | 7 | 0.754 | 0.685 | 0.784 |
| 7-4-2 | 2 | 0.769 | 0.637 | 0.740 |
| 7-3-2 | 7 | 0.694 | 0.639 | 0.715 |
| 6-5-4 | 6 | 0.823 | 0.777 | 0.832 |
| 6-5-3 | 3 | 0.838 | 0.720 | 0.790 |
| 6-5-2 | 2 | 0.851 | 0.665 | 0.738 |
| 6-4-3 | 3 | 0.782 | 0.718 | 0.762 |
| 6-4-2 | 2 | 0.796 | 0.662 | 0.720 |
| 6-3-2 | 2 | 0.732 | 0.661 | 0.696 |
| 5-4-3 | 3 | 0.810 | 0.759 | 0.742 |
| 5-4-2 | 2 | 0.826 | 0.711 | 0.700 |
| 5-3-2 | 2 | 0.772 | 0.709 | 0.677 |
| 4-3-2 | 2 | 0.738 | 0.691 | 0.673 |
3人のスーツのないシングルトン
以下の表は、3枚のアンスーテッド・シングルトンが配られた場合の、3通りのプレイ方法すべてにおける期待リターンを示しています。ほとんどの場合、最善のプレイは最も低いカードを捨てることです。しかし、すべてのカードが低い数字で、最も低い2枚のカードが近い数字で、最も高いカードがそうでない場合は、最も低い2枚のカードを出してストレートを狙うこともあります。
3人のスーツのないシングルトン
| 手 | 破棄 | 期待される 戻る 中高 | 期待される 戻る 低と高 | 期待される 戻る 低中級 |
|---|---|---|---|---|
| AKQ | 質問 | 1.423 | 1.309 | 1.263 |
| AKJ | J | 1.429 | 1.186 | 1.155 |
| AK-10 | 10 | 1.431 | 1.092 | 1.074 |
| AK-9 | 9 | 1.443 | 0.943 | 0.924 |
| AK-8 | 8 | 1.438 | 0.888 | 0.814 |
| AK-7 | 7 | 1.441 | 0.846 | 0.781 |
| AK-6 | 6 | 1.440 | 0.814 | 0.756 |
| AK-5 | 5 | 1.443 | 0.856 | 0.733 |
| AK-4 | 4 | 1.440 | 0.835 | 0.712 |
| AK-3 | 3 | 1.431 | 0.809 | 0.690 |
| AK-2 | 2 | 1.420 | 0.773 | 0.669 |
| AQJ | J | 1.272 | 1.186 | 1.099 |
| AQ-10 | 10 | 1.273 | 1.091 | 1.028 |
| AQ-9 | 9 | 1.288 | 0.940 | 0.890 |
| AQ-8 | 8 | 1.285 | 0.889 | 0.783 |
| AQ-7 | 7 | 1.284 | 0.850 | 0.700 |
| AQ-6 | 6 | 1.286 | 0.813 | 0.682 |
| AQ-5 | 5 | 1.288 | 0.859 | 0.663 |
| AQ-4 | 4 | 1.284 | 0.834 | 0.642 |
| AQ-3 | 3 | 1.279 | 0.811 | 0.622 |
| AQ-2 | 2 | 1.271 | 0.777 | 0.607 |
| AJ-10 | 10 | 1.154 | 1.091 | 1.017 |
| AJ-9 | 9 | 1.169 | 0.941 | 0.890 |
| AJ-8 | 8 | 1.169 | 0.888 | 0.785 |
| AJ-7 | 7 | 1.169 | 0.850 | 0.697 |
| AJ-6 | 6 | 1.169 | 0.819 | 0.626 |
| AJ-5 | 5 | 1.172 | 0.861 | 0.611 |
| AJ-4 | 4 | 1.170 | 0.838 | 0.591 |
| AJ-3 | 3 | 1.164 | 0.812 | 0.572 |
| AJ-2 | 2 | 1.156 | 0.778 | 0.558 |
| A-10-9 | 9 | 1.080 | 0.941 | 0.905 |
| A-10-8 | 8 | 1.080 | 0.888 | 0.809 |
| A-10-7 | 7 | 1.079 | 0.848 | 0.721 |
| A-10-6 | 6 | 1.082 | 0.818 | 0.643 |
| A-10-5 | 5 | 1.086 | 0.866 | 0.576 |
| A-10-4 | 4 | 1.083 | 0.838 | 0。558 |
| A-10-3 | 3 | 1.078 | 0.811 | 0.542 |
| A-10-2 | 2 | 1.072 | 0.778 | 0.528 |
| A-9-8 | 8 | 0.915 | 0.880 | 0.805 |
| A-9-7 | 7 | 0.916 | 0.842 | 0.741 |
| A-9-6 | 6 | 0.917 | 0.811 | 0.666 |
| A-9-5 | 5 | 0.921 | 0.860 | 0.592 |
| A-9-4 | 4 | 0.919 | 0.837 | 0.521 |
| A-9-3 | 3 | 0.916 | 0.809 | 0.508 |
| A-9-2 | 2 | 0.910 | 0.774 | 0.494 |
| A-8-7 | 7 | 0.862 | 0.838 | 0.757 |
| A-8-6 | 6 | 0.864 | 0.809 | 0.705 |
| A-8-5 | 5 | 0.870 | 0.858 | 0.632 |
| A-8-4 | 4 | 0.868 | 0.834 | 0.553 |
| A-8-3 | 3 | 0.866 | 0.815 | 0.487 |
| A-8-2 | 2 | 0.863 | 0.775 | 0.479 |
| A-7-6 | 6 | 0.827 | 0.805 | 0.729 |
| A-7-5 | 7 | 0.830 | 0.855 | 0.677 |
| A-7-4 | 7 | 0.829 | 0.832 | 0.603 |
| A-7-3 | 3 | 0.828 | 0.811 | 0.523 |
| A-7-2 | 2 | 0.827 | 0.782 | 0.463 |
| A-6-5 | 6 | 0.798 | 0.857 | 0.710 |
| A-6-4 | 6 | 0.796 | 0.835 | 0.652 |
| A-6-3 | 6 | 0.795 | 0.811 | 0.581 |
| A-6-2 | 2 | 0.796 | 0.781 | 0.505 |
| A-5-4 | 4 | 0.830 | 0.814 | 0.680 |
| A-5-3 | 3 | 0.827 | 0.791 | 0.624 |
| A-5-2 | 2 | 0.827 | 0.762 | 0.554 |
| A-4-3 | 3 | 0.804 | 0.789 | 0.591 |
| A-4-2 | 2 | 0.803 | 0.760 | 0.537 |
| A-3-2 | 2 | 0.782 | 0.758 | 0.508 |
| KQJ | J | 1.166 | 1.093 | 1.081 |
| KQ-10 | 10 | 1.165 | 1.013 | 1.011 |
| KQ-9 | 9 | 1.183 | 0.869 | 0.873 |
| KQ-8 | 8 | 1.195 | 0.782 | 0.787 |
| KQ-7 | 7 | 1.195 | 0.753 | 0.700 |
| KQ-6 | 6 | 1.194 | 0.727 | 0.683 |
| KQ-5 | 5 | 1.193 | 0.707 | 0.665 |
| KQ-4 | 4 | 1.190 | 0.685 | 0.644 |
| KQ-3 | 3 | 1.185 | 0.665 | 0.625 |
| KQ-2 | 2 | 1.180 | 0.647 | 0.610 |
| KJ-10 | 10 | 1.065 | 1.013 | 1.002 |
| KJ-9 | 9 | 1.082 | 0.870 | 0.872 |
| KJ-8 | 8 | 1.096 | 0.783 | 0.789 |
| KJ-7 | 7 | 1.095 | 0.752 | 0.695 |
| KJ-6 | 6 | 1.094 | 0.731 | 0。625 |
| KJ-5 | 5 | 1.095 | 0.707 | 0.611 |
| KJ-4 | 4 | 1.093 | 0.686 | 0.592 |
| KJ-3 | 3 | 1.089 | 0.666 | 0.575 |
| KJ-2 | 2 | 1.083 | 0.646 | 0.559 |
| K-10-9 | 9 | 1.009 | 0.868 | 0.890 |
| K-10-8 | 8 | 1.023 | 0.780 | 0.813 |
| K-10-7 | 7 | 1.021 | 0.751 | 0.721 |
| K-10-6 | 6 | 1.023 | 0.730 | 0.642 |
| K-10-5 | 5 | 1.023 | 0.712 | 0.576 |
| K-10-4 | 4 | 1.023 | 0.688 | 0.560 |
| K-10-3 | 3 | 1.018 | 0.666 | 0.544 |
| K-10-2 | 2 | 1.013 | 0.646 | 0.530 |
| K-9-8 | 8 | 0.857 | 0.778 | 0.810 |
| K-9-7 | 7 | 0.856 | 0.747 | 0.740 |
| K-9-6 | 6 | 0.859 | 0.726 | 0.666 |
| K-9-5 | 5 | 0.860 | 0.709 | 0.593 |
| K-9-4 | 4 | 0.857 | 0.687 | 0.523 |
| K-9-3 | 3 | 0.856 | 0.664 | 0.511 |
| K-9-2 | 2 | 0.851 | 0.645 | 0.499 |
| K-8-7 | K | 0.761 | 0.743 | 0.767 |
| K-8-6 | 6 | 0.761 | 0.723 | 0.710 |
| K-8-5 | 5 | 0.764 | 0.704 | 0.637 |
| K-8-4 | 4 | 0.762 | 0.683 | 0.558 |
| K-8-3 | 3 | 0.761 | 0.665 | 0.493 |
| K-8-2 | 2 | 0.759 | 0.643 | 0.483 |
| K-7-6 | 6 | 0.732 | 0.721 | 0.731 |
| K-7-5 | 5 | 0.732 | 0.703 | 0.680 |
| K-7-4 | 4 | 0.734 | 0.682 | 0.605 |
| K-7-3 | 3 | 0.733 | 0.664 | 0.528 |
| K-7-2 | 2 | 0.731 | 0.647 | 0.465 |
| K-6-5 | K | 0.708 | 0.698 | 0.712 |
| K-6-4 | 4 | 0.708 | 0.679 | 0.653 |
| K-6-3 | 3 | 0.709 | 0.663 | 0.581 |
| K-6-2 | 2 | 0.711 | 0.646 | 0.506 |
| K-5-4 | K | 0.690 | 0.676 | 0.701 |
| K-5-3 | 3 | 0.689 | 0.657 | 0.643 |
| K-5-2 | 2 | 0.689 | 0.641 | 0.572 |
| K-4-3 | 3 | 0.668 | 0.656 | 0.610 |
| K-4-2 | 2 | 0.667 | 0.639 | 0.555 |
| K-3-2 | 2 | 0.649 | 0.637 | 0.526 |
| QJ-10 | 10 | 1.005 | 0.964 | 0.984 |
| QJ-9 | 9 | 1.024 | 0.829 | 0.855 |
| QJ-8 | 8 | 1.038 | 0.745 | 0.773 |
| QJ-7 | 7 | 1.054 | 0.678 | 0.701 |
| QJ-6 | 6 | 1.051 | 0.662 | 0。624 |
| QJ-5 | 5 | 1.054 | 0.643 | 0.610 |
| QJ-4 | 4 | 1.051 | 0.624 | 0.592 |
| QJ-3 | 3 | 1.046 | 0.605 | 0.574 |
| QJ-2 | 2 | 1.043 | 0.589 | 0.559 |
| Q-10-9 | 9 | 0.961 | 0.827 | 0.872 |
| Q-10-8 | 8 | 0.978 | 0.744 | 0.796 |
| Q-10-7 | 7 | 0.993 | 0.677 | 0.726 |
| Q-10-6 | 6 | 0.992 | 0.662 | 0.640 |
| Q-10-5 | 5 | 0.993 | 0.647 | 0.574 |
| Q-10-4 | 4 | 0.992 | 0.624 | 0.558 |
| Q-10-3 | 3 | 0.989 | 0.607 | 0.544 |
| Q-10-2 | 2 | 0.985 | 0.589 | 0.529 |
| Q-9-8 | 8 | 0.819 | 0.740 | 0.795 |
| Q-9-7 | 7 | 0.835 | 0.675 | 0.746 |
| Q-9-6 | 6 | 0.836 | 0.660 | 0.667 |
| Q-9-5 | 5 | 0.836 | 0.644 | 0.591 |
| Q-9-4 | 4 | 0.835 | 0.626 | 0.522 |
| Q-9-3 | 3 | 0.835 | 0.605 | 0.511 |
| Q-9-2 | 2 | 0.831 | 0.590 | 0.497 |
| Q-8-7 | 質問 | 0.740 | 0.671 | 0.770 |
| Q-8-6 | 6 | 0.739 | 0.655 | 0.708 |
| Q-8-5 | 5 | 0.739 | 0.640 | 0.636 |
| Q-8-4 | 4 | 0.741 | 0.624 | 0.558 |
| Q-8-3 | 3 | 0.740 | 0.607 | 0.492 |
| Q-8-2 | 2 | 0.737 | 0.586 | 0.482 |
| Q-7-6 | 質問 | 0.660 | 0.654 | 0.741 |
| Q-7-5 | 質問 | 0.662 | 0.640 | 0.685 |
| Q-7-4 | 4 | 0.662 | 0.620 | 0.608 |
| Q-7-3 | 3 | 0.663 | 0.606 | 0.531 |
| Q-7-2 | 2 | 0.662 | 0.590 | 0.469 |
| Q-6-5 | 質問 | 0.644 | 0.636 | 0.712 |
| Q-6-4 | 質問 | 0.646 | 0.618 | 0.654 |
| Q-6-3 | 3 | 0.646 | 0.603 | 0.582 |
| Q-6-2 | 2 | 0.647 | 0.588 | 0.507 |
| Q-5-4 | 質問 | 0.628 | 0.616 | 0.700 |
| Q-5-3 | 質問 | 0.628 | 0.598 | 0.645 |
| Q-5-2 | 2 | 0.629 | 0.584 | 0.573 |
| Q-4-3 | 質問 | 0.608 | 0.597 | 0.612 |
| Q-4-2 | 2 | 0.608 | 0.582 | 0.556 |
| Q-3-2 | 2 | 0.593 | 0.583 | 0.526 |
| J-10-9 | 9 | 0.943 | 0.815 | 0.857 |
| J-10-8 | 8 | 0.958 | 0.734 | 0.778 |
| J-10-7 | 7 | 0.975 | 0.667 | 0.710 |
| J-10-6 | 6 | 0.992 | 0.610 | 0.648 |
| J-10-5 | 5 | 0.992 | 0.597 | 0。574 |
| D-10-4 | 4 | 0.988 | 0.575 | 0.557 |
| D-10-3 | 3 | 0.987 | 0.559 | 0.541 |
| D-10-2 | 2 | 0.984 | 0.545 | 0.528 |
| D-9-8 | 8 | 0.812 | 0.734 | 0.778 |
| D-9-7 | 7 | 0.828 | 0.665 | 0.730 |
| D-9-6 | 6 | 0.843 | 0.607 | 0.671 |
| D-9-5 | 5 | 0.842 | 0.596 | 0.591 |
| D-9-4 | 4 | 0.844 | 0.579 | 0.521 |
| D-9-3 | 3 | 0.841 | 0.559 | 0.508 |
| D-9-2 | 2 | 0.839 | 0.544 | 0.496 |
| D-8-7 | 私 | 0.734 | 0.663 | 0.756 |
| D-8-6 | 6 | 0.750 | 0.605 | 0.715 |
| D-8-5 | 5 | 0.750 | 0.594 | 0.635 |
| D-8-4 | 4 | 0.749 | 0.577 | 0.556 |
| D-8-3 | 3 | 0.750 | 0.562 | 0.492 |
| D-8-2 | 2 | 0.749 | 0.545 | 0.482 |
| D-7-6 | 私 | 0.664 | 0.602 | 0.746 |
| D-7-5 | 私 | 0.662 | 0.590 | 0.684 |
| D-7-4 | 4 | 0.667 | 0.575 | 0.607 |
| D-7-3 | 3 | 0.667 | 0.560 | 0.530 |
| D-7-2 | 2 | 0.666 | 0.548 | 0.468 |
| D-6-5 | 私 | 0.595 | 0.590 | 0.721 |
| D-6-4 | 私 | 0.596 | 0.574 | 0.658 |
| D-6-3 | 3 | 0.597 | 0.559 | 0.586 |
| D-6-2 | 2 | 0.598 | 0.545 | 0.510 |
| D-5-4 | 私 | 0.581 | 0.569 | 0.701 |
| D-5-3 | 私 | 0.584 | 0.556 | 0.646 |
| D-5-2 | 2 | 0.585 | 0.543 | 0.574 |
| D-4-3 | 私 | 0.565 | 0.555 | 0.613 |
| D-4-2 | 2 | 0.565 | 0.542 | 0.556 |
| D-3-2 | 2 | 0.549 | 0.540 | 0.526 |
| 10-9-8 | 8 | 0.821 | 0.746 | 0.762 |
| 10-9-7 | 7 | 0.836 | 0.678 | 0.712 |
| 10-9-6 | 6 | 0.854 | 0.615 | 0.655 |
| 10-9-5 | 5 | 0.868 | 0.563 | 0.594 |
| 10-9-4 | 4 | 0.866 | 0.548 | 0.520 |
| 10-9-3 | 3 | 0.867 | 0.529 | 0.507 |
| 10-9-2 | 2 | 0.865 | 0.517 | 0.494 |
| 10-8-7 | 7 | 0.749 | 0.677 | 0.739 |
| 10-8-6 | 6 | 0.763 | 0.614 | 0.698 |
| 10-8-5 | 5 | 0.780 | 0.561 | 0.642 |
| 10-8-4 | 4 | 0.779 | 0.547 | 0.555 |
| 10-8-3 | 3 | 0.780 | 0.534 | 0.489 |
| 10-8-2 | 2 | 0.779 | 0.518 | 0.481 |
| 10-7-6 | 10 | 0.681 | 0.612 | 0。730 |
| 10-7-5 | 5 | 0.696 | 0.559 | 0.688 |
| 10-7-4 | 4 | 0.696 | 0.546 | 0.606 |
| 10-7-3 | 3 | 0.697 | 0.533 | 0.527 |
| 10-7-2 | 2 | 0.697 | 0.522 | 0.466 |
| 10-6-5 | 10 | 0.619 | 0.558 | 0.725 |
| 10-6-4 | 10 | 0.616 | 0.543 | 0.657 |
| 10-6-3 | 3 | 0.619 | 0.531 | 0.585 |
| 10-6-2 | 2 | 0.619 | 0.520 | 0.508 |
| 10-5-4 | 10 | 0.552 | 0.541 | 0.708 |
| 10-5-3 | 10 | 0.553 | 0.527 | 0.649 |
| 10-5-2 | 10 | 0.553 | 0.516 | 0.576 |
| 10-4-3 | 10 | 0.538 | 0.528 | 0.612 |
| 10-4-2 | 10 | 0.537 | 0.516 | 0.557 |
| 10-3-2 | 10 | 0.525 | 0.516 | 0.528 |
| 9-8-7 | 7 | 0.725 | 0.680 | 0.721 |
| 9-8-6 | 6 | 0.741 | 0.622 | 0.679 |
| 9-8-5 | 5 | 0.756 | 0.564 | 0.623 |
| 9-8-4 | 4 | 0.773 | 0.508 | 0.559 |
| 9-8-3 | 3 | 0.774 | 0.498 | 0.487 |
| 9-8-2 | 2 | 0.772 | 0.483 | 0.477 |
| 9-7-6 | 9 | 0.682 | 0.620 | 0.710 |
| 9-7-5 | 5 | 0.698 | 0.562 | 0.670 |
| 9-7-4 | 4 | 0.715 | 0.506 | 0.611 |
| 9-7-3 | 3 | 0.716 | 0.497 | 0.526 |
| 9-7-2 | 2 | 0.716 | 0.486 | 0.464 |
| 9-6-5 | 9 | 0.626 | 0.560 | 0.709 |
| 9-6-4 | 9 | 0.644 | 0.505 | 0.662 |
| 9-6-3 | 3 | 0.643 | 0.495 | 0.583 |
| 9-6-2 | 2 | 0.645 | 0.482 | 0.506 |
| 9-5-4 | 9 | 0.568 | 0.502 | 0.711 |
| 9-5-3 | 9 | 0.569 | 0.492 | 0.647 |
| 9-5-2 | 9 | 0.572 | 0.483 | 0.575 |
| 9-4-3 | 9 | 0.501 | 0.493 | 0.618 |
| 9-4-2 | 9 | 0.501 | 0.483 | 0.561 |
| 9-3-2 | 9 | 0.490 | 0.481 | 0.526 |
| 8-7-6 | 8 | 0.692 | 0.650 | 0.694 |
| 8-7-5 | 5 | 0.705 | 0.594 | 0.652 |
| 8-7-4 | 4 | 0.725 | 0.530 | 0.593 |
| 8-7-3 | 3 | 0.742 | 0.479 | 0.531 |
| 8-7-2 | 2 | 0.739 | 0.471 | 0.461 |
| 8-6-5 | 8 | 0.654 | 0.592 | 0.692 |
| 8-6-4 | 4 | 0.672 | 0.528 | 0.644 |
| 8-6-3 | 3 | 0.690 | 0.477 | 0.589 |
| 8-6-2 | 2 | 0.690 | 0.469 | 0.503 |
| 8-5-4 | 8 | 0.601 | 0.527 | 0。695 |
| 8-5-3 | 8 | 0.618 | 0.476 | 0.652 |
| 8-5-2 | 2 | 0.618 | 0.468 | 0.572 |
| 8-4-3 | 8 | 0.540 | 0.476 | 0.623 |
| 8-4-2 | 8 | 0.539 | 0.470 | 0.559 |
| 8-3-2 | 8 | 0.474 | 0.469 | 0.534 |
| 7-6-5 | 7 | 0.667 | 0.625 | 0.674 |
| 7-6-4 | 4 | 0.685 | 0.565 | 0.627 |
| 7-6-3 | 3 | 0.704 | 0.504 | 0.571 |
| 7-6-2 | 2 | 0.719 | 0.455 | 0.510 |
| 7-5-4 | 7 | 0.632 | 0.562 | 0.678 |
| 7-5-3 | 3 | 0.650 | 0.501 | 0.635 |
| 7-5-2 | 2 | 0.668 | 0.452 | 0.579 |
| 7-4-3 | 7 | 0.576 | 0.502 | 0.607 |
| 7-4-2 | 2 | 0.592 | 0.454 | 0.563 |
| 7-3-2 | 7 | 0.517 | 0.456 | 0.539 |
| 6-5-4 | 6 | 0.651 | 0.598 | 0.662 |
| 6-5-3 | 3 | 0.669 | 0.541 | 0.616 |
| 6-5-2 | 2 | 0.685 | 0.482 | 0.561 |
| 6-4-3 | 3 | 0.611 | 0.543 | 0.588 |
| 6-4-2 | 2 | 0.629 | 0.483 | 0.546 |
| 6-3-2 | 2 | 0.558 | 0.486 | 0.522 |
| 5-4-3 | 3 | 0.640 | 0.588 | 0.566 |
| 5-4-2 | 2 | 0.658 | 0.533 | 0.521 |
| 5-3-2 | 2 | 0.602 | 0.535 | 0.498 |
| 4-3-2 | 2 | 0.572 | 0.519 | 0.500 |
3枚のシングルトン — スーツが最も低い2枚
次の表は、3枚のシングルトンが配られ、最も低い2枚のスーツが同じ場合の、3通りのプレイ方法すべてに対する期待リターンを示しています。60.5%の確率で、スーツが同じカードを保持し、最も高い1枚のカードを捨てるのが最善のプレイです。残りの確率では、最も低い1枚のカードを捨てます。次の表は、3枚のカードから2枚のカードを選ぶ3通りの方法すべてに対する期待リターンを示しています。
3枚のシングルトン — スーツが最も低い2枚
| 手 | 破棄 | 期待される 戻る 中高 | 期待される 戻る 低と高 | 期待される 戻る 低中級 |
|---|---|---|---|---|
| AKQ | あ | 1.404 | 1.296 | 1.480 |
| AKJ | J | 1.407 | 1.175 | 1.379 |
| AK-10 | 10 | 1.408 | 1.082 | 1.304 |
| AK-9 | 9 | 1.421 | 0.936 | 1.168 |
| AK-8 | 8 | 1.419 | 0.884 | 1.068 |
| AK-7 | 7 | 1.419 | 0.840 | 1.037 |
| AK-6 | 6 | 1.419 | 0.808 | 1.015 |
| AK-5 | 5 | 1.421 | 0.853 | 0.995 |
| AK-4 | 4 | 1.416 | 0.829 | 0.976 |
| AK-3 | 3 | 1.409 | 0.805 | 0.953 |
| AK-2 | 2 | 1.396 | 0.770 | 0.934 |
| AQJ | あ | 1.255 | 1.175 | 1.317 |
| AQ-10 | 10 | 1.257 | 1.081 | 1.255 |
| AQ-9 | 9 | 1.269 | 0.933 | 1.129 |
| AQ-8 | 8 | 1.268 | 0.884 | 1.030 |
| AQ-7 | 7 | 1.268 | 0.845 | 0.953 |
| AQ-6 | 6 | 1.269 | 0.809 | 0.939 |
| AQ-5 | 5 | 1.271 | 0.856 | 0.923 |
| AQ-4 | 4 | 1.269 | 0.833 | 0.904 |
| AQ-3 | 3 | 1.262 | 0.809 | 0.886 |
| AQ-2 | 2 | 1.252 | 0.773 | 0.868 |
| AJ-10 | あ | 1.140 | 1.082 | 1.238 |
| AJ-9 | 9 | 1.156 | 0.936 | 1.122 |
| AJ-8 | 8 | 1.155 | 0.883 | 1.024 |
| AJ-7 | 7 | 1.157 | 0.845 | 0.945 |
| AJ-6 | 6 | 1.154 | 0.814 | 0.879 |
| AJ-5 | 5 | 1.160 | 0.857 | 0.866 |
| AJ-4 | 4 | 1.156 | 0.833 | 0.848 |
| AJ-3 | 3 | 1.150 | 0.809 | 0.831 |
| AJ-2 | 2 | 1.143 | 0.775 | 0.818 |
| A-10-9 | あ | 1.068 | 0.935 | 1.131 |
| A-10-8 | 8 | 1.070 | 0.881 | 1.041 |
| A-10-7 | 7 | 1.067 | 0.843 | 0.962 |
| A-10-6 | 6 | 1.069 | 0.812 | 0.888 |
| A-10-5 | 5 | 1.074 | 0.861 | 0。824 |
| A-10-4 | 4 | 1.071 | 0.834 | 0.811 |
| A-10-3 | 3 | 1.068 | 0.809 | 0.796 |
| A-10-2 | 2 | 1.061 | 0.775 | 0.782 |
| A-9-8 | あ | 0.904 | 0.875 | 1.034 |
| A-9-7 | あ | 0.906 | 0.836 | 0.975 |
| A-9-6 | 6 | 0.908 | 0.807 | 0.905 |
| A-9-5 | 5 | 0.912 | 0.856 | 0.838 |
| A-9-4 | 4 | 0.911 | 0.834 | 0.773 |
| A-9-3 | 3 | 0.906 | 0.805 | 0.760 |
| A-9-2 | 2 | 0.902 | 0.772 | 0.751 |
| A-8-7 | あ | 0.855 | 0.835 | 0.987 |
| A-8-6 | あ | 0.856 | 0.805 | 0.939 |
| A-8-5 | あ | 0.862 | 0.853 | 0.873 |
| A-8-4 | 4 | 0.862 | 0.832 | 0.799 |
| A-8-3 | 3 | 0.857 | 0.810 | 0.734 |
| A-8-2 | 2 | 0.854 | 0.772 | 0.726 |
| A-7-6 | あ | 0.820 | 0.802 | 0.958 |
| A-7-5 | あ | 0.821 | 0.849 | 0.908 |
| A-7-4 | あ | 0.821 | 0.828 | 0.839 |
| A-7-3 | 3 | 0.821 | 0.807 | 0.764 |
| A-7-2 | 2 | 0.819 | 0.778 | 0.705 |
| A-6-5 | あ | 0.791 | 0.853 | 0.937 |
| A-6-4 | あ | 0.789 | 0.827 | 0.880 |
| A-6-3 | あ | 0.789 | 0.807 | 0.814 |
| A-6-2 | 2 | 0.790 | 0.779 | 0.742 |
| A-5-4 | あ | 0.824 | 0.810 | 0.906 |
| A-5-3 | あ | 0.822 | 0.787 | 0.849 |
| A-5-2 | 2 | 0.823 | 0.760 | 0.784 |
| A-4-3 | あ | 0.799 | 0.786 | 0.818 |
| A-4-2 | 2 | 0.801 | 0.758 | 0.764 |
| A-3-2 | 2 | 0.778 | 0.753 | 0.735 |
| KQJ | K | 1.148 | 1.082 | 1.300 |
| KQ-10 | K | 1.148 | 1.005 | 1.238 |
| KQ-9 | 9 | 1.164 | 0.862 | 1.114 |
| KQ-8 | 8 | 1.177 | 0.776 | 1.032 |
| KQ-7 | 7 | 1.175 | 0.748 | 0.953 |
| KQ-6 | 6 | 1.178 | 0.723 | 0.938 |
| KQ-5 | 5 | 1.177 | 0.705 | 0.923 |
| KQ-4 | 4 | 1.171 | 0.680 | 0.906 |
| KQ-3 | 3 | 1.171 | 0.664 | 0.885 |
| KQ-2 | 2 | 1.161 | 0.642 | 0.870 |
| KJ-10 | K | 1.054 | 1.005 | 1.223 |
| KJ-9 | K | 1.069 | 0.861 | 1.105 |
| KJ-8 | 8 | 1.081 | 0.776 | 1.031 |
| KJ-7 | 7 | 1.084 | 0.749 | 0。944 |
| KJ-6 | 6 | 1.080 | 0.726 | 0.879 |
| KJ-5 | 5 | 1.083 | 0.705 | 0.867 |
| KJ-4 | 4 | 1.079 | 0.682 | 0.849 |
| KJ-3 | 3 | 1.077 | 0.663 | 0.833 |
| KJ-2 | 2 | 1.068 | 0.643 | 0.819 |
| K-10-9 | K | 0.996 | 0.861 | 1.116 |
| K-10-8 | K | 1.011 | 0.774 | 1.044 |
| K-10-7 | 7 | 1.011 | 0.748 | 0.960 |
| K-10-6 | 6 | 1.014 | 0.727 | 0.889 |
| K-10-5 | 5 | 1.011 | 0.707 | 0.828 |
| K-10-4 | 4 | 1.011 | 0.684 | 0.814 |
| K-10-3 | 3 | 1.007 | 0.663 | 0.798 |
| K-10-2 | 2 | 1.001 | 0.643 | 0.783 |
| K-9-8 | K | 0.846 | 0.769 | 1.038 |
| K-9-7 | K | 0.849 | 0.744 | 0.976 |
| K-9-6 | K | 0.849 | 0.722 | 0.907 |
| K-9-5 | 5 | 0.851 | 0.705 | 0.840 |
| K-9-4 | 4 | 0.848 | 0.683 | 0.775 |
| K-9-3 | 3 | 0.848 | 0.663 | 0.763 |
| K-9-2 | 2 | 0.844 | 0.643 | 0.751 |
| K-8-7 | K | 0.751 | 0.737 | 0.994 |
| K-8-6 | K | 0.752 | 0.716 | 0.943 |
| K-8-5 | K | 0.756 | 0.698 | 0.877 |
| K-8-4 | K | 0.757 | 0.682 | 0.803 |
| K-8-3 | 3 | 0.753 | 0.662 | 0.741 |
| K-8-2 | 2 | 0.749 | 0.639 | 0.732 |
| K-7-6 | K | 0.725 | 0.717 | 0.961 |
| K-7-5 | K | 0.727 | 0.699 | 0.911 |
| K-7-4 | K | 0.727 | 0.680 | 0.840 |
| K-7-3 | K | 0.728 | 0.662 | 0.768 |
| K-7-2 | 2 | 0.727 | 0.645 | 0.709 |
| K-6-5 | K | 0.704 | 0.695 | 0.940 |
| K-6-4 | K | 0.703 | 0.676 | 0.883 |
| K-6-3 | K | 0.703 | 0.659 | 0.815 |
| K-6-2 | K | 0.703 | 0.641 | 0.745 |
| K-5-4 | K | 0.683 | 0.671 | 0.925 |
| K-5-3 | K | 0.684 | 0.653 | 0.868 |
| K-5-2 | K | 0.683 | 0.636 | 0.801 |
| K-4-3 | K | 0.664 | 0.651 | 0.837 |
| K-4-2 | K | 0.663 | 0.635 | 0.782 |
| K-3-2 | K | 0.645 | 0.633 | 0.750 |
| QJ-10 | 質問 | 0.994 | 0.956 | 1.205 |
| QJ-9 | 質問 | 1.011 | 0.822 | 1.089 |
| QJ-8 | 8 | 1.026 | 0.738 | 1.013 |
| QJ-7 | 7 | 1.041 | 0.674 | 0。948 |
| QJ-6 | 6 | 1.041 | 0.658 | 0.877 |
| QJ-5 | 5 | 1.041 | 0.641 | 0.866 |
| QJ-4 | 4 | 1.039 | 0.621 | 0.850 |
| QJ-3 | 3 | 1.034 | 0.601 | 0.834 |
| QJ-2 | 2 | 1.030 | 0.585 | 0.818 |
| Q-10-9 | 質問 | 0.953 | 0.822 | 1.101 |
| Q-10-8 | 質問 | 0.965 | 0.737 | 1.029 |
| Q-10-7 | 7 | 0.982 | 0.672 | 0.964 |
| Q-10-6 | 6 | 0.981 | 0.658 | 0.886 |
| Q-10-5 | 5 | 0.982 | 0.645 | 0.825 |
| Q-10-4 | 4 | 0.980 | 0.619 | 0.813 |
| Q-10-3 | 3 | 0.977 | 0.603 | 0.796 |
| Q-10-2 | 2 | 0.974 | 0.586 | 0.781 |
| Q-9-8 | 質問 | 0.812 | 0.737 | 1.027 |
| Q-9-7 | 質問 | 0.826 | 0.669 | 0.980 |
| Q-9-6 | 質問 | 0.826 | 0.655 | 0.906 |
| Q-9-5 | 質問 | 0.827 | 0.640 | 0.838 |
| Q-9-4 | 4 | 0.828 | 0.622 | 0.774 |
| Q-9-3 | 3 | 0.827 | 0.603 | 0.763 |
| Q-9-2 | 2 | 0.823 | 0.587 | 0.750 |
| Q-8-7 | 質問 | 0.729 | 0.665 | 0.999 |
| Q-8-6 | 質問 | 0.732 | 0.651 | 0.943 |
| Q-8-5 | 質問 | 0.732 | 0.637 | 0.873 |
| Q-8-4 | 質問 | 0.733 | 0.620 | 0.803 |
| Q-8-3 | 質問 | 0.734 | 0.605 | 0.741 |
| Q-8-2 | 質問 | 0.730 | 0.586 | 0.731 |
| Q-7-6 | 質問 | 0.651 | 0.647 | 0.968 |
| Q-7-5 | 質問 | 0.652 | 0.633 | 0.917 |
| Q-7-4 | 質問 | 0.656 | 0.618 | 0.846 |
| Q-7-3 | 質問 | 0.657 | 0.600 | 0.772 |
| Q-7-2 | 質問 | 0.655 | 0.587 | 0.713 |
| Q-6-5 | 質問 | 0.639 | 0.633 | 0.938 |
| Q-6-4 | 質問 | 0.638 | 0.615 | 0.882 |
| Q-6-3 | 質問 | 0.640 | 0.599 | 0.816 |
| Q-6-2 | 質問 | 0.641 | 0.585 | 0.747 |
| Q-5-4 | 質問 | 0.624 | 0.612 | 0.927 |
| Q-5-3 | 質問 | 0.622 | 0.595 | 0.870 |
| Q-5-2 | 質問 | 0.624 | 0.582 | 0.804 |
| Q-4-3 | 質問 | 0.605 | 0.594 | 0.838 |
| Q-4-2 | 質問 | 0.605 | 0.580 | 0.783 |
| Q-3-2 | 質問 | 0.590 | 0.579 | 0.751 |
| J-10-9 | J | 0.930 | 0.808 | 1.084 |
| J-10-8 | J | 0.946 | 0.729 | 1.014 |
| J-10-7 | 7 | 0.964 | 0.660 | 0.951 |
| J-10-6 | 6 | 0.981 | 0.606 | 0。893 |
| D-10-5 | 5 | 0.979 | 0.594 | 0.827 |
| D-10-4 | 4 | 0.979 | 0.572 | 0.811 |
| D-10-3 | 3 | 0.975 | 0.554 | 0.795 |
| D-10-2 | 2 | 0.972 | 0.541 | 0.782 |
| D-9-8 | 私 | 0.803 | 0.729 | 1,012 |
| D-9-7 | 私 | 0.818 | 0.658 | 0.966 |
| D-9-6 | 私 | 0.834 | 0.603 | 0.911 |
| D-9-5 | 私 | 0.833 | 0.592 | 0.838 |
| D-9-4 | 4 | 0.835 | 0.575 | 0.773 |
| D-9-3 | 3 | 0.833 | 0.556 | 0.760 |
| D-9-2 | 2 | 0.831 | 0.541 | 0.748 |
| D-8-7 | 私 | 0.727 | 0.657 | 0.986 |
| D-8-6 | 私 | 0.743 | 0.602 | 0.948 |
| D-8-5 | 私 | 0.743 | 0.591 | 0.875 |
| D-8-4 | 私 | 0.743 | 0.575 | 0.803 |
| D-8-3 | 3 | 0.742 | 0.558 | 0.738 |
| D-8-2 | 2 | 0.743 | 0.544 | 0.731 |
| D-7-6 | 私 | 0.660 | 0.600 | 0.972 |
| D-7-5 | 私 | 0.657 | 0.587 | 0.916 |
| D-7-4 | 私 | 0.659 | 0.571 | 0.843 |
| D-7-3 | 私 | 0.660 | 0.558 | 0.770 |
| D-7-2 | 私 | 0.660 | 0.545 | 0.711 |
| D-6-5 | 私 | 0.588 | 0.584 | 0.946 |
| D-6-4 | 私 | 0.590 | 0.569 | 0.887 |
| D-6-3 | 私 | 0.592 | 0.554 | 0.817 |
| D-6-2 | 私 | 0.594 | 0.542 | 0.747 |
| D-5-4 | 私 | 0.577 | 0.567 | 0.924 |
| D-5-3 | 私 | 0.579 | 0.553 | 0.871 |
| D-5-2 | 私 | 0.579 | 0.540 | 0.803 |
| D-4-3 | 私 | 0.561 | 0.551 | 0.838 |
| D-4-2 | 私 | 0.562 | 0.540 | 0.783 |
| D-3-2 | 私 | 0.545 | 0.538 | 0.752 |
| 10-9-8 | 10 | 0.812 | 0.739 | 0.994 |
| 10-9-7 | 10 | 0.826 | 0.671 | 0.948 |
| 10-9-6 | 10 | 0.843 | 0.611 | 0.894 |
| 10-9-5 | 5 | 0.861 | 0.559 | 0.842 |
| 10-9-4 | 4 | 0.859 | 0.544 | 0.770 |
| 10-9-3 | 3 | 0.859 | 0.528 | 0.757 |
| 10-9-2 | 2 | 0.857 | 0.513 | 0.748 |
| 10-8-7 | 10 | 0.740 | 0.671 | 0.969 |
| 10-8-6 | 10 | 0.756 | 0.610 | 0.934 |
| 10-8-5 | 10 | 0.772 | 0.557 | 0.879 |
| 10-8-4 | 10 | 0.772 | 0.543 | 0.798 |
| 10-8-3 | 3 | 0.773 | 0.531 | 0.737 |
| 10-8-2 | 2 | 0.772 | 0.515 | 0。729 |
| 10-7-6 | 10 | 0.675 | 0.608 | 0.959 |
| 10-7-5 | 10 | 0.689 | 0.555 | 0.920 |
| 10-7-4 | 10 | 0.690 | 0.543 | 0.844 |
| 10-7-3 | 10 | 0.692 | 0.529 | 0.767 |
| 10-7-2 | 10 | 0.690 | 0.517 | 0.709 |
| 10-6-5 | 10 | 0.612 | 0.554 | 0.952 |
| 10-6-4 | 10 | 0.611 | 0.540 | 0.884 |
| 10-6-3 | 10 | 0.615 | 0.528 | 0.818 |
| 10-6-2 | 10 | 0.616 | 0.517 | 0.747 |
| 10-5-4 | 10 | 0.546 | 0.538 | 0.932 |
| 10-5-3 | 10 | 0.548 | 0.525 | 0.873 |
| 10-5-2 | 10 | 0.549 | 0.515 | 0.804 |
| 10-4-3 | 10 | 0.533 | 0.524 | 0.837 |
| 10-4-2 | 10 | 0.533 | 0.513 | 0.785 |
| 10-3-2 | 10 | 0.521 | 0.513 | 0.753 |
| 9-8-7 | 9 | 0.719 | 0.674 | 0.952 |
| 9-8-6 | 9 | 0.731 | 0.617 | 0.914 |
| 9-8-5 | 9 | 0.751 | 0.559 | 0.863 |
| 9-8-4 | 9 | 0.768 | 0.504 | 0.805 |
| 9-8-3 | 3 | 0.765 | 0.495 | 0.734 |
| 9-8-2 | 2 | 0.763 | 0.480 | 0.726 |
| 9-7-6 | 9 | 0.674 | 0.614 | 0.941 |
| 9-7-5 | 9 | 0.691 | 0.558 | 0.904 |
| 9-7-4 | 9 | 0.711 | 0.503 | 0.847 |
| 9-7-3 | 9 | 0.711 | 0.493 | 0.765 |
| 9-7-2 | 2 | 0.709 | 0.484 | 0.708 |
| 9-6-5 | 9 | 0.620 | 0.557 | 0.935 |
| 9-6-4 | 9 | 0.636 | 0.501 | 0.891 |
| 9-6-3 | 9 | 0.639 | 0.491 | 0.814 |
| 9-6-2 | 9 | 0.639 | 0.480 | 0.743 |
| 9-5-4 | 9 | 0.563 | 0.497 | 0.934 |
| 9-5-3 | 9 | 0.563 | 0.489 | 0.872 |
| 9-5-2 | 9 | 0.566 | 0.480 | 0.802 |
| 9-4-3 | 9 | 0.494 | 0.488 | 0.843 |
| 9-4-2 | 9 | 0.497 | 0.479 | 0.788 |
| 9-3-2 | 9 | 0.487 | 0.480 | 0.753 |
| 8-7-6 | 8 | 0.685 | 0.645 | 0.924 |
| 8-7-5 | 8 | 0.699 | 0.590 | 0.888 |
| 8-7-4 | 8 | 0.717 | 0.526 | 0.829 |
| 8-7-3 | 8 | 0.735 | 0.476 | 0.771 |
| 8-7-2 | 2 | 0.733 | 0.468 | 0.708 |
| 8-6-5 | 8 | 0.648 | 0.585 | 0.919 |
| 8-6-4 | 8 | 0.667 | 0.526 | 0.874 |
| 8-6-3 | 8 | 0.684 | 0.473 | 0.820 |
| 8-6-2 | 8 | 0.684 | 0.467 | 0。741 |
| 8-5-4 | 8 | 0.594 | 0.523 | 0.922 |
| 8-5-3 | 8 | 0.615 | 0.471 | 0.877 |
| 8-5-2 | 8 | 0.613 | 0.466 | 0.800 |
| 8-4-3 | 8 | 0.535 | 0.471 | 0.846 |
| 8-4-2 | 8 | 0.535 | 0.467 | 0.783 |
| 8-3-2 | 8 | 0.470 | 0.467 | 0.761 |
| 7-6-5 | 7 | 0.662 | 0.622 | 0.903 |
| 7-6-4 | 7 | 0.679 | 0.560 | 0.856 |
| 7-6-3 | 7 | 0.696 | 0.500 | 0.804 |
| 7-6-2 | 7 | 0.713 | 0.452 | 0.745 |
| 7-5-4 | 7 | 0.627 | 0.559 | 0.905 |
| 7-5-3 | 7 | 0.646 | 0.498 | 0.860 |
| 7-5-2 | 7 | 0.663 | 0.450 | 0.807 |
| 7-4-3 | 7 | 0.570 | 0.498 | 0.833 |
| 7-4-2 | 7 | 0.591 | 0.453 | 0.790 |
| 7-3-2 | 7 | 0.512 | 0.452 | 0.765 |
| 6-5-4 | 6 | 0.646 | 0.594 | 0.884 |
| 6-5-3 | 6 | 0.664 | 0.538 | 0.844 |
| 6-5-2 | 6 | 0.681 | 0.480 | 0.787 |
| 6-4-3 | 6 | 0.605 | 0.538 | 0.814 |
| 6-4-2 | 6 | 0.625 | 0.481 | 0.771 |
| 6-3-2 | 6 | 0.556 | 0.483 | 0.747 |
| 5-4-3 | 5 | 0.638 | 0.584 | 0.793 |
| 5-4-2 | 5 | 0.654 | 0.529 | 0.752 |
| 5-3-2 | 5 | 0.599 | 0.532 | 0.728 |
| 4-3-2 | 4 | 0.566 | 0.517 | 0.726 |
3枚のシングルトン — 外側の2枚のスーツ
次の表は、3枚のシングルトンが配られ、最も低いカードと最も高いカードの2枚が同じスーツである場合の、3通りのプレイ方法すべてに対する期待リターンを示しています。74.1%の確率で、スーツが同じカードを保持し、真ん中のカードを捨てるのが最善のプレイです。次の表は、3枚のカードから2枚を選ぶ3通りの方法すべてに対する期待リターンを示しています。
3枚のシングルトン — 外側の2枚のスーツ
| 手 | 破棄 | 期待される 戻る 中高 | 期待される 戻る 低と高 | 期待される 戻る 低中級 |
|---|---|---|---|---|
| AKQ | K | 1.400 | 1.533 | 1.256 |
| AKJ | K | 1.405 | 1.417 | 1.146 |
| AK-10 | 10 | 1.404 | 1.332 | 1.065 |
| AK-9 | 9 | 1.419 | 1.196 | 0.918 |
| AK-8 | 8 | 1.415 | 1.147 | 0.810 |
| AK-7 | 7 | 1.418 | 1.109 | 0.778 |
| AK-6 | 6 | 1.416 | 1.080 | 0.749 |
| AK-5 | 5 | 1.417 | 1.119 | 0.729 |
| AK-4 | 4 | 1.413 | 1.098 | 0.706 |
| AK-3 | 3 | 1.405 | 1.078 | 0.686 |
| AK-2 | 2 | 1.397 | 1.045 | 0.666 |
| AQJ | 質問 | 1.244 | 1.416 | 1.088 |
| AQ-10 | 質問 | 1.250 | 1.329 | 1.021 |
| AQ-9 | 9 | 1.263 | 1.194 | 0.885 |
| AQ-8 | 8 | 1.260 | 1.144 | 0.778 |
| AQ-7 | 7 | 1.260 | 1.111 | 0.696 |
| AQ-6 | 6 | 1.260 | 1.078 | 0.678 |
| AQ-5 | 5 | 1.263 | 1.124 | 0.660 |
| AQ-4 | 4 | 1.260 | 1.103 | 0.641 |
| AQ-3 | 3 | 1.253 | 1.081 | 0.620 |
| AQ-2 | 2 | 1.248 | 1.048 | 0.605 |
| AJ-10 | J | 1.133 | 1.331 | 1.011 |
| AJ-9 | J | 1.147 | 1.195 | 0.884 |
| AJ-8 | J | 1.145 | 1.147 | 0.780 |
| AJ-7 | 7 | 1.144 | 1.112 | 0.694 |
| AJ-6 | 6 | 1.144 | 1.084 | 0.623 |
| AJ-5 | 5 | 1.146 | 1.125 | 0.606 |
| AJ-4 | 4 | 1.144 | 1.103 | 0.587 |
| AJ-3 | 3 | 1.139 | 1.082 | 0.572 |
| AJ-2 | 2 | 1.134 | 1.050 | 0.557 |
| A-10-9 | 10 | 1.055 | 1.194 | 0.899 |
| A-10-8 | 10 | 1.057 | 1.149 | 0.802 |
| A-10-7 | 10 | 1.054 | 1.109 | 0.718 |
| A-10-6 | 10 | 1.059 | 1.083 | 0.641 |
| A-10-5 | 10 | 1.063 | 1.131 | 0.572 |
| A-10-4 | 10 | 1.057 | 1.102 | 0.554 |
| A-10-3 | 10 | 1.055 | 1.081 | 0.541 |
| A-10-2 | 10 | 1.048 | 1.049 | 0.525 |
| A-9-8 | 9 | 0.891 | 1.138 | 0.799 |
| A-9-7 | 9 | 0.892 | 1.103 | 0.737 |
| A-9-6 | 9 | 0.894 | 1.076 | 0.663 |
| A-9-5 | 9 | 0.900 | 1.124 | 0.590 |
| A-9-4 | 9 | 0.895 | 1.104 | 0.518 |
| A-9-3 | 9 | 0.891 | 1.075 | 0.504 |
| A-9-2 | 9 | 0.890 | 1.046 | 0.495 |
| A-8-7 | 8 | 0.839 | 1.102 | 0.751 |
| A-8-6 | 8 | 0.842 | 1.075 | 0.702 |
| A-8-5 | 8 | 0.843 | 1.119 | 0.630 |
| A-8-4 | 8 | 0.844 | 1.101 | 0.550 |
| A-8-3 | 8 | 0.844 | 1.083 | 0.485 |
| A-8-2 | 8 | 0.839 | 1.048 | 0.475 |
| A-7-6 | 7 | 0.802 | 1.070 | 0.726 |
| A-7-5 | 7 | 0.805 | 1.117 | 0.673 |
| A-7-4 | 7 | 0.807 | 1.099 | 0.600 |
| A-7-3 | 7 | 0.806 | 1.081 | 0.520 |
| A-7-2 | 7 | 0.805 | 1.054 | 0.461 |
| A-6-5 | 6 | 0.775 | 1.120 | 0.707 |
| A-6-4 | 6 | 0.774 | 1.102 | 0.649 |
| A-6-3 | 6 | 0.773 | 1.080 | 0.578 |
| A-6-2 | 6 | 0.773 | 1.055 | 0.502 |
| A-5-4 | 5 | 0.805 | 1.078 | 0.678 |
| A-5-3 | 5 | 0.807 | 1.061 | 0.622 |
| A-5-2 | 5 | 0.805 | 1.034 | 0.553 |
| A-4-3 | 4 | 0.782 | 1.059 | 0.588 |
| A-4-2 | 4 | 0.782 | 1.033 | 0.533 |
| A-3-2 | 3 | 0.760 | 1.030 | 0.504 |
| KQJ | 質問 | 1.144 | 1.318 | 1.073 |
| KQ-10 | 質問 | 1.147 | 1.249 | 1.006 |
| KQ-9 | 9 | 1.162 | 1.116 | 0.867 |
| KQ-8 | 8 | 1.175 | 1.038 | 0.783 |
| KQ-7 | 7 | 1.171 | 1.009 | 0.694 |
| KQ-6 | 6 | 1.173 | 0.985 | 0.679 |
| KQ-5 | 5 | 1.172 | 0.969 | 0.661 |
| KQ-4 | 4 | 1.172 | 0.951 | 0.643 |
| KQ-3 | 3 | 1.166 | 0.935 | 0.623 |
| KQ-2 | 2 | 1.159 | 0.914 | 0.607 |
| KJ-10 | J | 1.047 | 1.246 | 0.994 |
| KJ-9 | J | 1.063 | 1.115 | 0.865 |
| KJ-8 | 8 | 1.078 | 1.037 | 0.783 |
| KJ-7 | 7 | 1.075 | 1.008 | 0.691 |
| KJ-6 | 6 | 1.076 | 0。991 | 0.622 |
| KJ-5 | 5 | 1.078 | 0.973 | 0.608 |
| KJ-4 | 4 | 1.073 | 0.952 | 0.589 |
| KJ-3 | 3 | 1.069 | 0.935 | 0.571 |
| KJ-2 | 2 | 1.061 | 0.914 | 0.556 |
| K-10-9 | 10 | 0.988 | 1.112 | 0.882 |
| K-10-8 | 10 | 1.002 | 1.035 | 0.808 |
| K-10-7 | 10 | 1.003 | 1.008 | 0.715 |
| K-10-6 | 6 | 1.005 | 0.991 | 0.638 |
| K-10-5 | 5 | 1.005 | 0.977 | 0.574 |
| K-10-4 | 4 | 1.003 | 0.952 | 0.557 |
| K-10-3 | 3 | 0.998 | 0.934 | 0.541 |
| K-10-2 | 2 | 0.994 | 0.917 | 0.527 |
| K-9-8 | 9 | 0.838 | 1.032 | 0.805 |
| K-9-7 | 9 | 0.838 | 1.005 | 0.737 |
| K-9-6 | 9 | 0.841 | 0.986 | 0.664 |
| K-9-5 | 9 | 0.842 | 0.974 | 0.591 |
| K-9-4 | 9 | 0.841 | 0.954 | 0.522 |
| K-9-3 | 9 | 0.838 | 0.933 | 0.508 |
| K-9-2 | 9 | 0.831 | 0.913 | 0.496 |
| K-8-7 | 8 | 0.743 | 1.001 | 0.763 |
| K-8-6 | 8 | 0.742 | 0.981 | 0.705 |
| K-8-5 | 8 | 0.744 | 0.968 | 0.635 |
| K-8-4 | 8 | 0.745 | 0.949 | 0.556 |
| K-8-3 | 8 | 0.745 | 0.937 | 0.491 |
| K-8-2 | 8 | 0.741 | 0.912 | 0.481 |
| K-7-6 | 7 | 0.714 | 0.983 | 0.729 |
| K-7-5 | 7 | 0.714 | 0.964 | 0.677 |
| K-7-4 | 7 | 0.715 | 0.950 | 0.603 |
| K-7-3 | 7 | 0.716 | 0.933 | 0.526 |
| K-7-2 | 7 | 0.714 | 0.917 | 0.463 |
| K-6-5 | 6 | 0.690 | 0.964 | 0.709 |
| K-6-4 | 6 | 0.692 | 0.947 | 0.650 |
| K-6-3 | 6 | 0.692 | 0.928 | 0.580 |
| K-6-2 | 6 | 0.693 | 0.913 | 0.505 |
| K-5-4 | 5 | 0.670 | 0.942 | 0.695 |
| K-5-3 | 5 | 0.672 | 0.927 | 0.641 |
| K-5-2 | 5 | 0.672 | 0.909 | 0.570 |
| K-4-3 | 4 | 0.653 | 0.926 | 0.609 |
| K-4-2 | 4 | 0.652 | 0.908 | 0.553 |
| K-3-2 | 3 | 0.632 | 0.906 | 0.524 |
| QJ-10 | J | 0.991 | 1.193 | 0.974 |
| QJ-9 | J | 1.009 | 1.069 | 0.849 |
| QJ-8 | 8 | 1.023 | 0.993 | 0.766 |
| QJ-7 | 7 | 1.038 | 0.933 | 0.697 |
| QJ-6 | 6 | 1.037 | 0.920 | 0。622 |
| QJ-5 | 5 | 1.037 | 0.902 | 0.607 |
| QJ-4 | 4 | 1.036 | 0.885 | 0.589 |
| QJ-3 | 3 | 1.035 | 0.872 | 0.572 |
| QJ-2 | 2 | 1.026 | 0.851 | 0.555 |
| Q-10-9 | 10 | 0.945 | 1.067 | 0.865 |
| Q-10-8 | 10 | 0.965 | 0.991 | 0.792 |
| Q-10-7 | 7 | 0.978 | 0.933 | 0.721 |
| Q-10-6 | 6 | 0.976 | 0.920 | 0.637 |
| Q-10-5 | 5 | 0.977 | 0.904 | 0.572 |
| Q-10-4 | 4 | 0.976 | 0.884 | 0.554 |
| Q-10-3 | 3 | 0.975 | 0.868 | 0.540 |
| Q-10-2 | 2 | 0.971 | 0.854 | 0.527 |
| Q-9-8 | 9 | 0.807 | 0.989 | 0.790 |
| Q-9-7 | 9 | 0.821 | 0.929 | 0.742 |
| Q-9-6 | 9 | 0.820 | 0.915 | 0.662 |
| Q-9-5 | 9 | 0.820 | 0.903 | 0.587 |
| Q-9-4 | 9 | 0.821 | 0.888 | 0.518 |
| Q-9-3 | 9 | 0.824 | 0.870 | 0.509 |
| Q-9-2 | 9 | 0.817 | 0.852 | 0.494 |
| Q-8-7 | 8 | 0.723 | 0.925 | 0.766 |
| Q-8-6 | 8 | 0.724 | 0.912 | 0.704 |
| Q-8-5 | 8 | 0.724 | 0.901 | 0.633 |
| Q-8-4 | 8 | 0.726 | 0.884 | 0.555 |
| Q-8-3 | 8 | 0.726 | 0.869 | 0.490 |
| Q-8-2 | 8 | 0.725 | 0.853 | 0.482 |
| Q-7-6 | 7 | 0.645 | 0.910 | 0.736 |
| Q-7-5 | 7 | 0.646 | 0.897 | 0.681 |
| Q-7-4 | 7 | 0.647 | 0.884 | 0.604 |
| Q-7-3 | 7 | 0.649 | 0.868 | 0.528 |
| Q-7-2 | 7 | 0.647 | 0.854 | 0.465 |
| Q-6-5 | 6 | 0.630 | 0.898 | 0.710 |
| Q-6-4 | 6 | 0.629 | 0.880 | 0.650 |
| Q-6-3 | 6 | 0.631 | 0.865 | 0.581 |
| Q-6-2 | 6 | 0.634 | 0.853 | 0.505 |
| Q-5-4 | 5 | 0.613 | 0.877 | 0.697 |
| Q-5-3 | 5 | 0.613 | 0.863 | 0.642 |
| Q-5-2 | 5 | 0.614 | 0.850 | 0.571 |
| Q-4-3 | 4 | 0.596 | 0.863 | 0.610 |
| Q-4-2 | 4 | 0.595 | 0.848 | 0.554 |
| Q-3-2 | 3 | 0.580 | 0.847 | 0.525 |
| J-10-9 | 10 | 0.930 | 1.051 | 0.850 |
| J-10-8 | 10 | 0.946 | 0.977 | 0.774 |
| J-10-7 | 7 | 0.964 | 0.915 | 0.707 |
| J-10-6 | 6 | 0.979 | 0.863 | 0.643 |
| J-10-5 | 5 | 0.980 | 0.853 | 0。571 |
| D-10-4 | 4 | 0.978 | 0.834 | 0.555 |
| D-10-3 | 3 | 0.975 | 0.817 | 0.539 |
| D-10-2 | 2 | 0.972 | 0.804 | 0.526 |
| D-9-8 | 9 | 0.797 | 0.976 | 0.772 |
| D-9-7 | 9 | 0.814 | 0.913 | 0.725 |
| D-9-6 | 9 | 0.831 | 0.863 | 0.669 |
| D-9-5 | 9 | 0.831 | 0.851 | 0.587 |
| D-9-4 | 9 | 0.832 | 0.835 | 0.518 |
| D-9-3 | 3 | 0.828 | 0.819 | 0.505 |
| D-9-2 | 2 | 0.827 | 0.804 | 0.493 |
| D-8-7 | 8 | 0.721 | 0.910 | 0.750 |
| D-8-6 | 8 | 0.738 | 0.860 | 0.713 |
| D-8-5 | 8 | 0.737 | 0.847 | 0.633 |
| D-8-4 | 8 | 0.739 | 0.836 | 0.554 |
| D-8-3 | 8 | 0.740 | 0.819 | 0.488 |
| D-8-2 | 8 | 0.739 | 0.808 | 0.479 |
| D-7-6 | 7 | 0.653 | 0.858 | 0.742 |
| D-7-5 | 7 | 0.652 | 0.847 | 0.680 |
| D-7-4 | 7 | 0.653 | 0.833 | 0.604 |
| D-7-3 | 7 | 0.655 | 0.819 | 0.528 |
| D-7-2 | 7 | 0.654 | 0.808 | 0.466 |
| D-6-5 | 6 | 0.583 | 0.845 | 0.716 |
| D-6-4 | 6 | 0.585 | 0.830 | 0.656 |
| D-6-3 | 6 | 0.587 | 0.819 | 0.584 |
| D-6-2 | 6 | 0.586 | 0.807 | 0.507 |
| D-5-4 | 5 | 0.571 | 0.829 | 0.698 |
| D-5-3 | 5 | 0.572 | 0.816 | 0.641 |
| D-5-2 | 5 | 0.573 | 0.803 | 0.571 |
| D-4-3 | 4 | 0.553 | 0.815 | 0.609 |
| D-4-2 | 4 | 0.554 | 0.803 | 0.554 |
| D-3-2 | 3 | 0.538 | 0.801 | 0.524 |
| 10-9-8 | 9 | 0.810 | 0.981 | 0.756 |
| 10-9-7 | 9 | 0.824 | 0.916 | 0.706 |
| 10-9-6 | 9 | 0.842 | 0.861 | 0.649 |
| 10-9-5 | 5 | 0.859 | 0.815 | 0.592 |
| 10-9-4 | 4 | 0.856 | 0.802 | 0.515 |
| 10-9-3 | 3 | 0.858 | 0.785 | 0.504 |
| 10-9-2 | 2 | 0.854 | 0.773 | 0.491 |
| 10-8-7 | 8 | 0.737 | 0.918 | 0.732 |
| 10-8-6 | 8 | 0.752 | 0.860 | 0.694 |
| 10-8-5 | 8 | 0.770 | 0.815 | 0.639 |
| 10-8-4 | 8 | 0.769 | 0.801 | 0.553 |
| 10-8-3 | 8 | 0.770 | 0.788 | 0.485 |
| 10-8-2 | 8 | 0.769 | 0.773 | 0.477 |
| 10-7-6 | 7 | 0.670 | 0.859 | 0。727 |
| 10-7-5 | 7 | 0.686 | 0.811 | 0.683 |
| 10-7-4 | 7 | 0.687 | 0.800 | 0.602 |
| 10-7-3 | 7 | 0.688 | 0.790 | 0.525 |
| 10-7-2 | 7 | 0.688 | 0.777 | 0.465 |
| 10-6-5 | 6 | 0.609 | 0.813 | 0.722 |
| 10-6-4 | 6 | 0.608 | 0.801 | 0.653 |
| 10-6-3 | 6 | 0.609 | 0.787 | 0.581 |
| 10-6-2 | 6 | 0.611 | 0.776 | 0.508 |
| 10-5-4 | 5 | 0.541 | 0.795 | 0.705 |
| 10-5-3 | 5 | 0.543 | 0.783 | 0.645 |
| 10-5-2 | 5 | 0.545 | 0.773 | 0.575 |
| 10-4-3 | 4 | 0.528 | 0.783 | 0.609 |
| 10-4-2 | 4 | 0.530 | 0.773 | 0.555 |
| 10-3-2 | 3 | 0.516 | 0.774 | 0.525 |
| 9-8-7 | 8 | 0.717 | 0.918 | 0.715 |
| 9-8-6 | 8 | 0.732 | 0.864 | 0.674 |
| 9-8-5 | 8 | 0.748 | 0.810 | 0.619 |
| 9-8-4 | 4 | 0.765 | 0.759 | 0.556 |
| 9-8-3 | 3 | 0.763 | 0.751 | 0.484 |
| 9-8-2 | 2 | 0.764 | 0.736 | 0.476 |
| 9-7-6 | 7 | 0.674 | 0.862 | 0.707 |
| 9-7-5 | 7 | 0.690 | 0.808 | 0.666 |
| 9-7-4 | 7 | 0.707 | 0.759 | 0.607 |
| 9-7-3 | 7 | 0.708 | 0.749 | 0.523 |
| 9-7-2 | 7 | 0.706 | 0.737 | 0.462 |
| 9-6-5 | 6 | 0.618 | 0.808 | 0.706 |
| 9-6-4 | 6 | 0.635 | 0.756 | 0.657 |
| 9-6-3 | 6 | 0.636 | 0.748 | 0.578 |
| 9-6-2 | 6 | 0.637 | 0.738 | 0.504 |
| 9-5-4 | 5 | 0.562 | 0.756 | 0.710 |
| 9-5-3 | 5 | 0.560 | 0.749 | 0.642 |
| 9-5-2 | 5 | 0.562 | 0.735 | 0.572 |
| 9-4-3 | 4 | 0.491 | 0.746 | 0.616 |
| 9-4-2 | 4 | 0.494 | 0.738 | 0.557 |
| 9-3-2 | 3 | 0.482 | 0.738 | 0.524 |
| 8-7-6 | 7 | 0.685 | 0.886 | 0.688 |
| 8-7-5 | 7 | 0.700 | 0.835 | 0.648 |
| 8-7-4 | 7 | 0.717 | 0.777 | 0.588 |
| 8-7-3 | 3 | 0.736 | 0.728 | 0.530 |
| 8-7-2 | 2 | 0.735 | 0.722 | 0.463 |
| 8-6-5 | 6 | 0.649 | 0.834 | 0.687 |
| 8-6-4 | 6 | 0.666 | 0.775 | 0.640 |
| 8-6-3 | 6 | 0.682 | 0.725 | 0.584 |
| 8-6-2 | 6 | 0.682 | 0.719 | 0.501 |
| 8-5-4 | 5 | 0.593 | 0.772 | 0。692 |
| 8-5-3 | 5 | 0.611 | 0.724 | 0.648 |
| 8-5-2 | 5 | 0.612 | 0.717 | 0.570 |
| 8-4-3 | 4 | 0.534 | 0.727 | 0.619 |
| 8-4-2 | 4 | 0.532 | 0.719 | 0.557 |
| 8-3-2 | 3 | 0.468 | 0.719 | 0.531 |
| 7-6-5 | 6 | 0.662 | 0.860 | 0.669 |
| 7-6-4 | 6 | 0.679 | 0.803 | 0.621 |
| 7-6-3 | 6 | 0.698 | 0.745 | 0.567 |
| 7-6-2 | 2 | 0.712 | 0.700 | 0.505 |
| 7-5-4 | 5 | 0.626 | 0.800 | 0.675 |
| 7-5-3 | 5 | 0.646 | 0.742 | 0.631 |
| 7-5-2 | 5 | 0.663 | 0.697 | 0.576 |
| 7-4-3 | 4 | 0.571 | 0.746 | 0.603 |
| 7-4-2 | 4 | 0.589 | 0.699 | 0.561 |
| 7-3-2 | 3 | 0.510 | 0.701 | 0.536 |
| 6-5-4 | 5 | 0.645 | 0.829 | 0.656 |
| 6-5-3 | 5 | 0.662 | 0.776 | 0.612 |
| 6-5-2 | 5 | 0.681 | 0.721 | 0.557 |
| 6-4-3 | 4 | 0.605 | 0.778 | 0.587 |
| 6-4-2 | 4 | 0.623 | 0.722 | 0.543 |
| 6-3-2 | 3 | 0.553 | 0.723 | 0.518 |
| 5-4-3 | 4 | 0.635 | 0.816 | 0.562 |
| 5-4-2 | 4 | 0.654 | 0.762 | 0.519 |
| 5-3-2 | 3 | 0.597 | 0.764 | 0.495 |
| 4-3-2 | 3 | 0.567 | 0.748 | 0.494 |
3枚のシングルトン — 最高の2枚のスーツ
以下の表は、3枚のシングルトンが配られ、最も低い2枚のスーツが同じ場合の、3通りのプレイ方法すべてにおける期待リターンを示しています。100%の確率で、スーツが同じカードを保持し、最も低いカードを捨てるのが最善のプレイです。それ以外の場合は、最も低いカードを捨てます。以下の表は、3枚のカードから2枚を選ぶ3通りの方法すべてにおける期待リターンを示しています。
3枚のシングルトン — 最高の2枚のスーツ
| 手 | 破棄 | 期待される 戻る 中高 | 期待される 戻る 低と高 | 期待される 戻る 低中級 |
|---|---|---|---|---|
| AKQ | 質問 | 1.632 | 1.286 | 1.252 |
| AKJ | J | 1.638 | 1.162 | 1.143 |
| AK-10 | 10 | 1.638 | 1.066 | 1.060 |
| AK-9 | 9 | 1.651 | 0.920 | 0.912 |
| AK-8 | 8 | 1.646 | 0.865 | 0.803 |
| AK-7 | 7 | 1.651 | 0.823 | 0.769 |
| AK-6 | 6 | 1.645 | 0.789 | 0.743 |
| AK-5 | 5 | 1.652 | 0.837 | 0.720 |
| AK-4 | 4 | 1.646 | 0.810 | 0.699 |
| AK-3 | 3 | 1.636 | 0.784 | 0.678 |
| AK-2 | 2 | 1.629 | 0.752 | 0.657 |
| AQJ | J | 1.493 | 1.160 | 1.088 |
| AQ-10 | 10 | 1.498 | 1.067 | 1.019 |
| AQ-9 | 9 | 1.512 | 0.921 | 0.881 |
| AQ-8 | 8 | 1.506 | 0.865 | 0.773 |
| AQ-7 | 7 | 1.506 | 0.827 | 0.691 |
| AQ-6 | 6 | 1.506 | 0.791 | 0.674 |
| AQ-5 | 5 | 1.510 | 0.837 | 0.654 |
| AQ-4 | 4 | 1.507 | 0.812 | 0.633 |
| AQ-3 | 3 | 1.499 | 0.786 | 0.613 |
| AQ-2 | 2 | 1.491 | 0.753 | 0.597 |
| AJ-10 | 10 | 1.387 | 1.066 | 1.009 |
| AJ-9 | 9 | 1.402 | 0.919 | 0.882 |
| AJ-8 | 8 | 1.400 | 0.864 | 0.777 |
| AJ-7 | 7 | 1.401 | 0.827 | 0.689 |
| AJ-6 | 6 | 1.399 | 0.796 | 0.617 |
| AJ-5 | 5 | 1.404 | 0.839 | 0.603 |
| AJ-4 | 4 | 1.401 | 0.813 | 0.585 |
| AJ-3 | 3 | 1.395 | 0.790 | 0.567 |
| AJ-2 | 2 | 1.388 | 0.754 | 0.550 |
| A-10-9 | 9 | 1.321 | 0.920 | 0.900 |
| A-10-8 | 8 | 1.321 | 0.865 | 0.799 |
| A-10-7 | 7 | 1.320 | 0.826 | 0.716 |
| A-10-6 | 6 | 1.322 | 0.795 | 0.635 |
| A-10-5 | 5 | 1.326 | 0.842 | 0。570 |
| A-10-4 | 4 | 1.324 | 0.816 | 0.552 |
| A-10-3 | 3 | 1.318 | 0.791 | 0.536 |
| A-10-2 | 2 | 1.315 | 0.757 | 0.523 |
| A-9-8 | 8 | 1.168 | 0.856 | 0.799 |
| A-9-7 | 7 | 1.171 | 0.819 | 0.736 |
| A-9-6 | 6 | 1.170 | 0.787 | 0.660 |
| A-9-5 | 5 | 1.174 | 0.835 | 0.584 |
| A-9-4 | 4 | 1.174 | 0.815 | 0.517 |
| A-9-3 | 3 | 1.170 | 0.786 | 0.505 |
| A-9-2 | 2 | 1.164 | 0.752 | 0.489 |
| A-8-7 | 7 | 1.123 | 0.816 | 0.753 |
| A-8-6 | 6 | 1.122 | 0.786 | 0.700 |
| A-8-5 | 5 | 1.126 | 0.835 | 0.628 |
| A-8-4 | 4 | 1.127 | 0.812 | 0.549 |
| A-8-3 | 3 | 1.123 | 0.791 | 0.483 |
| A-8-2 | 2 | 1.118 | 0.752 | 0.474 |
| A-7-6 | 6 | 1.087 | 0.783 | 0.726 |
| A-7-5 | 5 | 1.091 | 0.831 | 0.672 |
| A-7-4 | 4 | 1.091 | 0.809 | 0.599 |
| A-7-3 | 3 | 1.090 | 0.788 | 0.520 |
| A-7-2 | 2 | 1.088 | 0.758 | 0.458 |
| A-6-5 | 5 | 1.063 | 0.834 | 0.707 |
| A-6-4 | 4 | 1.064 | 0.812 | 0.649 |
| A-6-3 | 3 | 1.063 | 0.789 | 0.576 |
| A-6-2 | 2 | 1.062 | 0.761 | 0.502 |
| A-5-4 | 4 | 1.090 | 0.789 | 0.677 |
| A-5-3 | 3 | 1.094 | 0.771 | 0.622 |
| A-5-2 | 2 | 1.091 | 0.738 | 0.552 |
| A-4-3 | 3 | 1.072 | 0.768 | 0.589 |
| A-4-2 | 2 | 1.069 | 0.735 | 0.532 |
| A-3-2 | 2 | 1.050 | 0.736 | 0.504 |
| KQJ | J | 1.384 | 1.072 | 1.071 |
| KQ-10 | 10 | 1.387 | 0.995 | 1.002 |
| KQ-9 | 9 | 1.398 | 0.849 | 0.862 |
| KQ-8 | 8 | 1.414 | 0.764 | 0.779 |
| KQ-7 | 7 | 1.412 | 0.733 | 0.689 |
| KQ-6 | 6 | 1.414 | 0.709 | 0.672 |
| KQ-5 | 5 | 1.411 | 0.689 | 0.655 |
| KQ-4 | 4 | 1.408 | 0.668 | 0.635 |
| KQ-3 | 3 | 1.402 | 0.647 | 0.617 |
| KQ-2 | 2 | 1.393 | 0.625 | 0.599 |
| KJ-10 | 10 | 1.291 | 0.992 | 0.991 |
| KJ-9 | 9 | 1.311 | 0.849 | 0.864 |
| KJ-8 | 8 | 1.323 | 0.765 | 0.783 |
| KJ-7 | 7 | 1.323 | 0.735 | 0。688 |
| KJ-6 | 6 | 1.321 | 0.712 | 0.619 |
| KJ-5 | 5 | 1.322 | 0.689 | 0.604 |
| KJ-4 | 4 | 1.322 | 0.669 | 0.587 |
| KJ-3 | 3 | 1.316 | 0.649 | 0.569 |
| KJ-2 | 2 | 1.309 | 0.629 | 0.552 |
| K-10-9 | 9 | 1.242 | 0.850 | 0.885 |
| K-10-8 | 8 | 1.258 | 0.762 | 0.806 |
| K-10-7 | 7 | 1.258 | 0.734 | 0.714 |
| K-10-6 | 6 | 1.258 | 0.713 | 0.637 |
| K-10-5 | 5 | 1.254 | 0.691 | 0.570 |
| K-10-4 | 4 | 1.254 | 0.670 | 0.553 |
| K-10-3 | 3 | 1.252 | 0.649 | 0.538 |
| K-10-2 | 2 | 1.246 | 0.629 | 0.522 |
| K-9-8 | 8 | 1.104 | 0.758 | 0.805 |
| K-9-7 | 7 | 1.104 | 0.730 | 0.736 |
| K-9-6 | 6 | 1.106 | 0.707 | 0.662 |
| K-9-5 | 5 | 1.107 | 0.688 | 0.586 |
| K-9-4 | 4 | 1.105 | 0.670 | 0.519 |
| K-9-3 | 3 | 1.103 | 0.647 | 0.504 |
| K-9-2 | 2 | 1.097 | 0.627 | 0.494 |
| K-8-7 | 7 | 1.016 | 0.726 | 0.762 |
| K-8-6 | 6 | 1.016 | 0.701 | 0.706 |
| K-8-5 | 5 | 1.019 | 0.686 | 0.633 |
| K-8-4 | 4 | 1.019 | 0.666 | 0.555 |
| K-8-3 | 3 | 1.017 | 0.647 | 0.488 |
| K-8-2 | 2 | 1.013 | 0.624 | 0.478 |
| K-7-6 | 6 | 0.992 | 0.702 | 0.727 |
| K-7-5 | 5 | 0.993 | 0.685 | 0.679 |
| K-7-4 | 4 | 0.992 | 0.664 | 0.601 |
| K-7-3 | 3 | 0.993 | 0.647 | 0.524 |
| K-7-2 | 2 | 0.992 | 0.631 | 0.464 |
| K-6-5 | 5 | 0.970 | 0.681 | 0.710 |
| K-6-4 | 4 | 0.970 | 0.662 | 0.649 |
| K-6-3 | 3 | 0.970 | 0.643 | 0.577 |
| K-6-2 | 2 | 0.972 | 0.627 | 0.503 |
| K-5-4 | 4 | 0.954 | 0.658 | 0.697 |
| K-5-3 | 3 | 0.951 | 0.641 | 0.642 |
| K-5-2 | 2 | 0.953 | 0.623 | 0.571 |
| K-4-3 | 3 | 0.935 | 0.638 | 0.610 |
| K-4-2 | 2 | 0.934 | 0.621 | 0.553 |
| K-3-2 | 2 | 0.916 | 0.620 | 0.523 |
| QJ-10 | 10 | 1.228 | 0.948 | 0.974 |
| QJ-9 | 9 | 1.245 | 0.814 | 0.846 |
| QJ-8 | 8 | 1.262 | 0.732 | 0.765 |
| QJ-7 | 7 | 1.273 | 0.662 | 0。692 |
| QJ-6 | 6 | 1.274 | 0.648 | 0.618 |
| QJ-5 | 5 | 1.275 | 0.628 | 0.602 |
| QJ-4 | 4 | 1.274 | 0.608 | 0.584 |
| QJ-3 | 3 | 1.269 | 0.591 | 0.567 |
| QJ-2 | 2 | 1.265 | 0.573 | 0.550 |
| Q-10-9 | 9 | 1.192 | 0.814 | 0.867 |
| Q-10-8 | 8 | 1.204 | 0.730 | 0.788 |
| Q-10-7 | 7 | 1.224 | 0.665 | 0.720 |
| Q-10-6 | 6 | 1.219 | 0.648 | 0.633 |
| Q-10-5 | 5 | 1.221 | 0.631 | 0.568 |
| Q-10-4 | 4 | 1.219 | 0.608 | 0.551 |
| Q-10-3 | 3 | 1.216 | 0.590 | 0.537 |
| Q-10-2 | 2 | 1.213 | 0.576 | 0.523 |
| Q-9-8 | 8 | 1.062 | 0.724 | 0.789 |
| Q-9-7 | 7 | 1.076 | 0.658 | 0.739 |
| Q-9-6 | 6 | 1.078 | 0.645 | 0.661 |
| Q-9-5 | 5 | 1.077 | 0.630 | 0.587 |
| Q-9-4 | 4 | 1.078 | 0.611 | 0.517 |
| Q-9-3 | 3 | 1.074 | 0.590 | 0.504 |
| Q-9-2 | 2 | 1.072 | 0.573 | 0.491 |
| Q-8-7 | 7 | 0.986 | 0.655 | 0.766 |
| Q-8-6 | 6 | 0.988 | 0.641 | 0.705 |
| Q-8-5 | 5 | 0.987 | 0.626 | 0.632 |
| Q-8-4 | 4 | 0.991 | 0.610 | 0.555 |
| Q-8-3 | 3 | 0.990 | 0.593 | 0.488 |
| Q-8-2 | 2 | 0.986 | 0.574 | 0.478 |
| Q-7-6 | 6 | 0.916 | 0.639 | 0.736 |
| Q-7-5 | 5 | 0.916 | 0.625 | 0.681 |
| Q-7-4 | 4 | 0.917 | 0.605 | 0.604 |
| Q-7-3 | 3 | 0.916 | 0.589 | 0.526 |
| Q-7-2 | 2 | 0.916 | 0.574 | 0.465 |
| Q-6-5 | 5 | 0.902 | 0.625 | 0.710 |
| Q-6-4 | 4 | 0.902 | 0.604 | 0.651 |
| Q-6-3 | 3 | 0.903 | 0.589 | 0.579 |
| Q-6-2 | 2 | 0.904 | 0.573 | 0.504 |
| Q-5-4 | 4 | 0.887 | 0.599 | 0.698 |
| Q-5-3 | 3 | 0.885 | 0.583 | 0.643 |
| Q-5-2 | 2 | 0.889 | 0.571 | 0.573 |
| Q-4-3 | 3 | 0.872 | 0.584 | 0.608 |
| Q-4-2 | 2 | 0.870 | 0.568 | 0.555 |
| Q-3-2 | 2 | 0.855 | 0.568 | 0.525 |
| J-10-9 | 9 | 1.165 | 0.803 | 0.850 |
| J-10-8 | 8 | 1.183 | 0.723 | 0.773 |
| J-10-7 | 7 | 1.197 | 0.654 | 0.704 |
| J-10-6 | 6 | 1.214 | 0.599 | 0。641 |
| D-10-5 | 5 | 1,213 | 0.585 | 0.566 |
| D-10-4 | 4 | 1,210 | 0.564 | 0.551 |
| D-10-3 | 3 | 1,209 | 0.547 | 0.535 |
| D-10-2 | 2 | 1,206 | 0.533 | 0.521 |
| D-9-8 | 8 | 1,046 | 0.721 | 0.772 |
| D-9-7 | 7 | 1,062 | 0.650 | 0.725 |
| D-9-6 | 6 | 1,077 | 0.596 | 0.666 |
| D-9-5 | 5 | 1,078 | 0.585 | 0.586 |
| D-9-4 | 4 | 1,075 | 0.566 | 0.516 |
| D-9-3 | 3 | 1,077 | 0.548 | 0.504 |
| D-9-2 | 2 | 1,075 | 0.534 | 0.491 |
| D-8-7 | 7 | 0.976 | 0.650 | 0.753 |
| D-8-6 | 6 | 0.992 | 0.593 | 0.710 |
| D-8-5 | 5 | 0.990 | 0.581 | 0.632 |
| D-8-4 | 4 | 0.994 | 0.566 | 0.553 |
| D-8-3 | 3 | 0.990 | 0.549 | 0.485 |
| D-8-2 | 2 | 0.989 | 0.533 | 0.476 |
| D-7-6 | 6 | 0.914 | 0.591 | 0.740 |
| D-7-5 | 5 | 0.914 | 0.581 | 0.681 |
| D-7-4 | 4 | 0.916 | 0.563 | 0.603 |
| D-7-3 | 3 | 0.915 | 0.548 | 0.526 |
| D-7-2 | 2 | 0.915 | 0.536 | 0.465 |
| D-6-5 | 5 | 0.848 | 0.577 | 0.716 |
| D-6-4 | 4 | 0.851 | 0.562 | 0.655 |
| D-6-3 | 3 | 0.850 | 0.546 | 0.582 |
| D-6-2 | 2 | 0.853 | 0.534 | 0.507 |
| D-5-4 | 4 | 0.839 | 0.559 | 0.698 |
| D-5-3 | 3 | 0.839 | 0.541 | 0.641 |
| D-5-2 | 2 | 0.840 | 0.531 | 0.572 |
| D-4-3 | 3 | 0.822 | 0.542 | 0.609 |
| D-4-2 | 2 | 0.823 | 0.530 | 0.555 |
| D-3-2 | 2 | 0.810 | 0.530 | 0.524 |
| 10-9-8 | 8 | 1,050 | 0.735 | 0.756 |
| 10-9-7 | 7 | 1,066 | 0.667 | 0.706 |
| 10-9-6 | 6 | 1,083 | 0.604 | 0.649 |
| 10-9-5 | 5 | 1,099 | 0.553 | 0.592 |
| 10-9-4 | 4 | 1,096 | 0.538 | 0.513 |
| 10-9-3 | 3 | 1,097 | 0.521 | 0.501 |
| 10-9-2 | 2 | 1,093 | 0.508 | 0.488 |
| 10-8-7 | 7 | 0.983 | 0.665 | 0.733 |
| 10-8-6 | 6 | 0.999 | 0.604 | 0.693 |
| 10-8-5 | 5 | 1,016 | 0.553 | 0.638 |
| 10-8-4 | 4 | 1,014 | 0.538 | 0.549 |
| 10-8-3 | 3 | 1,016 | 0.524 | 0.486 |
| 10-8-2 | 2 | 1,014 | 0.507 | 0。474 |
| 10-7-6 | 6 | 0.922 | 0.602 | 0.724 |
| 10-7-5 | 5 | 0.937 | 0.551 | 0.685 |
| 10-7-4 | 4 | 0.937 | 0.536 | 0.599 |
| 10-7-3 | 3 | 0.937 | 0.523 | 0.523 |
| 10-7-2 | 2 | 0.939 | 0.511 | 0.462 |
| 10-6-5 | 5 | 0.866 | 0.549 | 0.721 |
| 10-6-4 | 4 | 0.864 | 0.533 | 0.653 |
| 10-6-3 | 3 | 0.866 | 0.520 | 0.581 |
| 10-6-2 | 2 | 0.868 | 0.510 | 0.505 |
| 10-5-4 | 4 | 0.803 | 0.531 | 0.705 |
| 10-5-3 | 3 | 0.804 | 0.519 | 0.645 |
| 10-5-2 | 2 | 0.807 | 0.508 | 0.575 |
| 10-4-3 | 3 | 0.792 | 0.518 | 0.609 |
| 10-4-2 | 2 | 0.794 | 0.506 | 0.555 |
| 10-3-2 | 2 | 0.779 | 0.506 | 0.525 |
| 9-8-7 | 7 | 0.959 | 0.671 | 0.715 |
| 9-8-6 | 6 | 0.975 | 0.614 | 0.673 |
| 9-8-5 | 5 | 0.990 | 0.556 | 0.619 |
| 9-8-4 | 4 | 1.006 | 0.500 | 0.554 |
| 9-8-3 | 3 | 1.006 | 0.488 | 0.481 |
| 9-8-2 | 2 | 1.003 | 0.474 | 0.471 |
| 9-7-6 | 6 | 0.918 | 0.611 | 0.707 |
| 9-7-5 | 5 | 0.937 | 0.554 | 0.668 |
| 9-7-4 | 4 | 0.951 | 0.497 | 0.605 |
| 9-7-3 | 3 | 0.953 | 0.486 | 0.520 |
| 9-7-2 | 2 | 0.952 | 0.478 | 0.458 |
| 9-6-5 | 5 | 0.869 | 0.553 | 0.704 |
| 9-6-4 | 4 | 0.883 | 0.497 | 0.656 |
| 9-6-3 | 3 | 0.886 | 0.486 | 0.578 |
| 9-6-2 | 2 | 0.887 | 0.475 | 0.503 |
| 9-5-4 | 4 | 0.817 | 0.495 | 0.707 |
| 9-5-3 | 3 | 0.817 | 0.485 | 0.645 |
| 9-5-2 | 2 | 0.818 | 0.472 | 0.571 |
| 9-4-3 | 3 | 0.754 | 0.485 | 0.616 |
| 9-4-2 | 2 | 0.755 | 0.476 | 0.556 |
| 9-3-2 | 2 | 0.744 | 0.476 | 0.524 |
| 8-7-6 | 6 | 0.927 | 0.643 | 0.690 |
| 8-7-5 | 5 | 0.941 | 0.587 | 0.649 |
| 8-7-4 | 4 | 0.957 | 0.525 | 0.589 |
| 8-7-3 | 3 | 0.973 | 0.472 | 0.525 |
| 8-7-2 | 2 | 0.973 | 0.464 | 0.456 |
| 8-6-5 | 5 | 0.892 | 0.587 | 0.688 |
| 8-6-4 | 4 | 0.907 | 0.522 | 0.639 |
| 8-6-3 | 3 | 0.923 | 0.468 | 0.582 |
| 8-6-2 | 2 | 0.925 | 0.463 | 0。502 |
| 8-5-4 | 4 | 0.841 | 0.520 | 0.692 |
| 8-5-3 | 3 | 0.859 | 0.467 | 0.647 |
| 8-5-2 | 2 | 0.860 | 0.462 | 0.569 |
| 8-4-3 | 3 | 0.786 | 0.468 | 0.621 |
| 8-4-2 | 2 | 0.787 | 0.463 | 0.556 |
| 8-3-2 | 2 | 0.724 | 0.463 | 0.531 |
| 7-6-5 | 5 | 0.899 | 0.618 | 0.668 |
| 7-6-4 | 4 | 0.915 | 0.559 | 0.622 |
| 7-6-3 | 3 | 0.933 | 0.498 | 0.565 |
| 7-6-2 | 2 | 0.947 | 0.449 | 0.505 |
| 7-5-4 | 4 | 0.868 | 0.557 | 0.675 |
| 7-5-3 | 3 | 0.885 | 0.493 | 0.630 |
| 7-5-2 | 2 | 0.902 | 0.447 | 0.574 |
| 7-4-3 | 3 | 0.814 | 0.495 | 0.603 |
| 7-4-2 | 2 | 0.831 | 0.449 | 0.561 |
| 7-3-2 | 2 | 0.758 | 0.448 | 0.533 |
| 6-5-4 | 4 | 0.881 | 0.591 | 0.658 |
| 6-5-3 | 3 | 0.897 | 0.536 | 0.611 |
| 6-5-2 | 2 | 0.916 | 0.477 | 0.557 |
| 6-4-3 | 3 | 0.841 | 0.537 | 0.585 |
| 6-4-2 | 2 | 0.860 | 0.479 | 0.543 |
| 6-3-2 | 2 | 0.793 | 0.480 | 0.518 |
| 5-4-3 | 3 | 0.866 | 0.582 | 0.562 |
| 5-4-2 | 2 | 0.884 | 0.528 | 0.519 |
| 5-3-2 | 2 | 0.829 | 0.530 | 0.497 |
トップ 6 オンライン ポーカー ボーナス 全てを見る
出力定格
以下の表は、プレイヤーがプレイする可能性のある全てのハンドに対する私のパワー評価を示しています。これは、上の表に示されているように、プレイヤーが常に期待値が最も高い2枚のカードをプレイすると仮定した場合のものです。この仮定では、K-6のような、捨て札がKまたは6と同じスーツであるような状況はプレイされない可能性があります。期待値を36.9倍に膨らませたため、AAでエース以外のカードを捨て札にした場合の最高のハンドの価値は100になります。もちろん、実際のパワー評価は捨て札のランクによって多少異なるため、ここで示されている値は加重平均です。
以下の表は、ペアを持っている場合のパワー評価を示しています。列は、ランクペナルティ(スリーカードが配られる)、スーツペナルティ(シングルトンはペアのカードと同じスーツなので、フラッシュが完成する可能性が低くなる)、そしてペナルティカードが全くないかどうかで分けられています。

以下の表は、同じスーツの2枚のカードを任意の組み合わせで保持し、捨て札が同じスーツである場合のパワー評価を示しています。つまり、3枚のフラッシュカードが配られた場合です。

次の表は、捨て札が異なるスーツである場合に、同じスーツのカード 2 枚の任意の組み合わせを保持することのパワー評価を示しています。

次の表は、2 枚のスーツが異なるカードの組み合わせを保持した場合のパワー評価を示しています。この場合、捨てられたカードはそのうちの 1 枚に適合しており、フラッシュが完成する可能性が低くなります。

以下の表は、2枚のオフスーツカード(捨て札が2枚と異なるスーツ)の組み合わせのパワーを示しています。つまり、3つの異なるスーツを持つ「レインボー」が配られた場合です。

方法論
このページに記載されている期待値と戦略は、ランダムシミュレーションの結果です。戦略を決定するために、まず、最終ハンドの価値を最大化する2枚のカードを常に保持する5人のサイキックな対戦相手に対して、基本戦略を開発しました。次に、5人の対戦相手全員にこの対サイキック戦略を実行させ、それを打ち負かすための新たな最適戦略を開発しました。このプロセスをさらに4回繰り返し、戦略がこれ以上改善できないナッシュ均衡に達するまで続けました。最終的な数値は、6,610,500,000ラウンドのシミュレーションに基づいています。