扑克牌的概率计算基于组合数学,使用标准的52张牌(无大小王)。以下是五张扑克牌(如五张抽牌)中各种手牌的概率公式。总可能的手牌组合数为 \\( C(52, 5) = 2,598,960 \\)。
各手牌概率公式及计算
1. 同花顺 (Straight Flush)
2. 四条 (Four of a Kind)
imes C(4, 4) \
imes C(48, 1)}{C(52, 5)} = \\frac{13 \
imes 1 \
imes 48}{2,598,960} \\)3. 满堂红 (Full House)
imes C(4, 3) \
imes C(12, 1) \
imes C(4, 2)}{C(52, 5)} = \\frac{13 \
imes 4 \
imes 12 \
imes 6}{2,598,960} \\)4. 同花 (Flush)
imes C(13, 5)
5. 顺子 (Straight)
imes (4^5)
6. 三条 (Three of a Kind)
imes C(4, 3) \
imes C(12, 2) \
imes (C(4, 1))^2}{C(52, 5)} = \\frac{13 \
imes 4 \
imes 66 \
悟空黑桃A imes 16}{2,598,960} \\)7. 两对 (Two Pair)
imes (C(4, 2))^2 \
imes C(11, 1) \
imes C(4, 1)}{C(52, 5)} = \\frac{78 \
imes 36 \
imes 11 \
imes 4}{2,598,960} \\)\\)
8)
8. 一对 (One Pair)
imes C(4, 2) \
imes C(12, 3) \
imes (C(4, 1))^3}{C(52, 5)} = \\frac{13 \
imes 6 \
imes 220 \
imes 64}{2,598,960} \\)9. 高牌 (High Card)
ext{总手牌}
注意事项
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