by palman » Mon Mar 28, 2005 12:18 pm
My initial thought about your $25 on the river was that I didn't like it, but upon reflection it might have been the ideal bet.
Consider this..... if he has a boat and you check it to him, The range of amounts he will bet will be between $25-$50... for an average of $37.5. If you lead out for $25 and he has the boat, the range of amounts he will bet will be between $75-$125, for an average of $100.
Thus if he has a boat, leading out costs you an average of $62.
However, there are a WIDE variety of hands he will call you down with for $25. Any 10 (which is his most likely holding) some people will call any pair or even AK here for a half pot sized bet. Regardless, you just need someone to call you 2.5:1 as often as he will have a boat, which I think is very likely. I think in fact you might get someone to call you 4-5x as often as they will have a boat. So if we say he will call you 5 times as often without the boat, 83% of the time you are winning 25, and 16% of the time you are losing $62. Thus, under this scenario, your EV is +11 by betting here.
Then you have to compare alternative bets. I think if you bet $50, you drastically reduce the hands he will call with, and cost yourself more on average when he has a boat.
Is there $11 +EV checking and inducing a bluff equity when you factor in the times you check and he bets with the boat? That's a tougher decision. I'd think initially that there isn't.