This is a discussion on Combinatorics basic question within the online poker forums, in the General Poker section; Lets say villain open raises from UTG in 6max NLHE game, and lets say his range is 66+, ATs+ AJo+, KJs+ and KQ. There are 


#1




Combinatorics basic question
Lets say villain open raises from UTG in 6max NLHE game, and lets say his range is 66+, ATs+ AJo+, KJs+ and KQ. There are 8*6 = 48 combos of pairs in his range, 4*4=16 As, 3*12 = 36 Ao, 2*4=8 Ks, and 12 KQo for a total of 48 + 16 + 36 + 8 + 12 = 120 combos. If hero is for some reasone allin 3bet holding AKo and villain is folding everything except AA and KK, how percent his hand is he folding? Do we need consider fact that hero is holding one A and one K?
6 combos of AA + 6 combos of KK = 12 /120 = 10% time he will call or there are 3 combos of AA and 3 combos of KK = 6 / 120 = 5%? But if hero is holding AK do we need to reduce number of total combinations(120) because there are also most made of A and K combos? 
#5




re: Poker & Combinatorics basic question
Quote:
___ I think this is a trick question. If Hero is AIPF it doesn't matter what combo's villain has. Time for that thinking has passed. But this is Sunday, and Praying he doesn't is valid I guess. 