Quote:
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Originally Posted by ganchrow
"Your aces have less than a 35% chance to win against 9 random hands." While there's no doubting the veracity of this statement, it applies only against players who have stayed with you until the showdown. Even though all other 9 players did call we would have to believe that a raise preflop or a bet after the flop would drastically limit (or eliminate) the field.
Therefore, insofar as we can bet to push players out of the pot, the <35% figure serves only as lower bound to our actual winning probability. We have every reason to expect our true probability be considerably higher.
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Your answer is an interesting one because it really point to the maddening qualities of the problem. How much would you bet to push others out? Your last sentence indicates that you'd push enough so that there would be only a few opponents left. Let's assume that you make some bet that does exxactly that, and you are called by 3 players each of whom hold a hand that may warrant a call here.
It's a $1/$2 game with $200 stacks. You make a $24 bet and get 3 calls; the pot is $92.
Player 1 (you) hold AhAd
Player 2 holds KdQd
Player 3 holds JsTs
Player 4 holds 8c7c
Pokerstove says:
equity (%) win (%) tie (%)
Hand 1: 48.2658 % 48.25% 00.02% { AdAh }
Hand 2: 13.9859 % 13.97% 00.02% { KdQd }
Hand 3: 18.2873 % 18.27% 00.02% { JsTs }
Hand 4: 19.4610 % 19.44% 00.02% { 8c7c }
Are you happy with that?