德州扑克起手底牌概率

德州扑克起手底牌概率
德州扑克数学是德州扑克非常重要的一个方面,但它很简单,不需要你具备高深的数学知识。我们将尝试在本文中用浅显的语言为你解释如何计算翻前发到特定起手牌牌型的概率。
计算翻前发到特定底牌的概率非常简单。每个牌手在牌局开始时将发到两张起手牌。每个牌手只能看到自己的底牌,不能看到别人发到的牌。因此,牌手发到的第一张牌是52张牌中的一张,而第二张牌是牌堆剩下的51张牌中的一张。因此,德州扑克中总共有52 x 51 / 2 = 1326种可能的底牌组合。
因为不同花色的同点数牌(如A♥和A♠)牌力是相等的,因此德州扑克总共有169种起手牌:13种口袋对子(每个口袋对子有6种组合)、78种同花牌(每种同花牌有4种组合)和78种非同花牌(每种非同花牌有12种组合)。我们现在来检查一下:13 x 6 + 78 x 4 + 78 x 12 = 78 + 312 + 936 = 1326。正确无误!
我们可以用排列组合公式确定发到一个口袋对子的概率为:13 x C(4,2) / 1326 = 13 x 6 /1326 = 78 / 1326 = 0.0588 = 5.88%
这里C(4,2)是我们发到由四种花色组成的一对牌的所有方式,以KK为例,KK可能有6种发出方式:K♠ K♦,K♠ K♣,K♠ K♥,K♦ K♣,K♦ K♥和K♣ K♥。
同样,我们可以确定翻前发到同花牌的概率为:78 x C(4,1) / 1326 = 78 x 4 / 1326 = 0.2353 = 23.53%。
翻牌前发到(非对子)非同花牌的概率为:78 x C(4,1) x C(3,1) / 1326 = 936 / 1326 = 0.7059 = 70.59%
是不是很简单?
最后,为了帮助大家熟悉一些常见起手牌的发出概率,我们提供了一张表格:
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