德州扑克手牌组合有多少种?

起手牌组合
德州扑克中可能的手牌组合数有C254=(54*53)/(2*1)=1326种
特定的对子牌有C24=(4*3)/(2*1)=6种组合
特定的非对子牌有4*4=16种组合
特定的同花非对子牌有4*1=4种组合
AXs有13-1=12种组合
KXs有13-2=11种组合
思考:去牌效应的应用。
HERO手上有一张A,那么对手AA的组合还有多少呢?
答:有C23=(3*2)/(2*1)=3种,与你没有A时的情况相比少了一半。
HERO手上有一张A,那么对手AK的组合还有多少呢?
答:有3*4=12种,与你没有A时的情况相比少了1/4。
成牌组合
FLOP没有公对时:
三条的组合有C23*C23=9种
指定三条的组合有C23=3种
两对的组合有C23*C23*C23=27种
指定两对组合有C23*C23=9种
TPTK的组合有3*4=12种
Flop有公对时:
明三条顶踢脚的组合有2*4=8种
葫芦的组合有C23+C13*C12=9种
听牌组合
FLOP有两张同花时:
对手理论上的同花组合有C211=55种
而当你手上有一张同花时,对手理论上的同花组合有C210=45种
在类似K34这样的FLOP时:
两头顺组合(25、56)有2*4*4=32种
卡顺组合有(A2、26、57)3*4*4=48种
在类似K56这样的FLOP时:
两头顺组合有(34、47、78)3*4*4=48种
卡顺组合有(24、37、48、79)4*4*4=64种
思考:当你知道对手只玩同花连牌时,组合数会发生怎样的变化呢?(这个请大家自己做个计算吧~)
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