With continuing our previous discussion, say if you have pocket pair 77, the other player X has TJ (not suited).
1.Player X could get a 789TJ straight:
In case b, with a 7, but no TJ:
b.1) 789yz: 2*4*4*C(28,2) yz not in (7,8,9,T,J,Q)
Sum of (b.1) is 12,096, the probability is about 0.71%.
In case c,
c.1) 789Ty, 789Jy: 2*4*4*3*C(28,1)*2=5,376, the probability is about 0.31%.
2.Player X could get a 89TJQ straight:
In case a, without 7,T,J, but
a.1) 89Qyz: 4*4*4*C(24,2) yz not in (7,8,9,T,J,Q,K)
a.2) 889Qy,899Qy,89QQy: 6*4*4*C(24,1)*3
a.3) 8899Q,889QQ,899QQ: 6*6*4*3
Sum of (a.1,a.2,a.3) is 25,008, the probability is about 1.46%.
In case b,
b.1) 789Qy: 2*4*4*4*C(24,1) y not in (7,8,9,T,J,Q,K)
Sum of (b.1) is 3,072, the probability is about 0.18%.
In case c,
c.1) 789QT, 789QJ: 2*4*4*4*3*2=768, the probability is about 0.04%.
3.Player X could get a 9TJQK straight:
In case a.
a.1) 9QKyz: 4*4*4*C(24,2) yz not in (7,9,T,J,Q,K,A)
a.2) 99QKy,9QQKy 9QKKy: 6*4*4*C(24,1)*3
a.3) 99QQK,99QKK,9QQKK: 6*6*4*3
Sum of (a.1,a.2,a.3) is 25,008, the probability is about 1.46%.
In case b,
b.1) 79QKy: 2*4*4*4*C(24,1) y not in (7,9,T,J,Q,K,A)
Sum of (b.1) is 3,072, the probability is about 0.18%.
In case c,
c.1) 79QKT, 79QKJ: 2*4*4*4*3*2=768, the probability is about 0.04%.
4.Player X could get a TJQKA straight:
In case a,
a.1) QKAyz: 4*4*4*C(28,2) yz not in (7,T,J,Q,K,A)
a.2) QKAy,QKAy QKAy: 6*4*4*C(28,1)*3
a.3) QQKKA,QQKAA,QKKAA: 6*6*4*3
Sum of (a.1,a.2,a.3) is 32,688, the probability is about 1.91%.
In case b,
b.1) 7QKAy: 2*4*4*4*C(28,1) y not in (7,T,J,Q,K,A)
Sum of (b.1) is 3,584, the probability is about 0.21%.
In case c,
c.1) 7QKAT, 7QKAJ: 2*4*4*4*3*2=768, the probability is about 0.04%.
The probability for player X to get a straight (without you getting a full house or 4-of-a-kind) is about 6.55%. Your probability of winning is lowered to about 51.73%+q, anyway you could still win with a flush.
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