德州扑克碰到同花顺的几率有多大?

在德州扑克游戏中,同花和顺子都是非常强的牌形,那么把同花和顺子强强结合的同花顺,那是更加无敌了。
但本文中要说的是普通的同花顺的几率,而不是同花顺的顶级大佬—皇家同花顺(上面的配图是皇家同花顺,一时找不到普通同花顺的图,将就一下吧,哈哈)。
在上一篇文章中,我们已经知道了需要将近10年才能击中一次皇家同花顺,那么击中普通同花顺的几率,究竟有多大呢?下面我们依旧采用在上高中时学过的排列组合算概率:
一共52张牌(去掉大小王),任意选择5张的概率是C52/5,也就是(52*51*50*49*48)/(5*4*3*2*1)=2598960,每种花色从A2345、23456最后到10JQKA有10个顺子,全副牌一共有40种不同的同花顺,2598960/40=64974,说明某个玩家每玩64974手牌会击中一次同花顺。
如果一个玩家每天花12小时打牌,每手牌花2分钟的话,一天720分钟可以玩360手牌,64974/360=180天,也就是说需要玩180天左右会击中一次同花顺,虽然也很久,但比起皇家同花顺的5年击中一次就几率要大得多了。
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