Re: This push plus or minus EV
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If there is a 1/2 chance that the Button calls and a 1/4 chance that the SB calls and a 1/8 chance that they both call then isn't there a 7/8 chance (1/2 + 1/4 + 1/8) that at least one of them calls? Otherwise put 1/8 chance that they both fold.
Now i'm really confused. [img]/images/graemlins/confused.gif[/img]
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Yeah, you are confused. You're double and triple counting the times that both SB and button call. You are supposed to substract it, not add. Here is a neat formula to remember
Event 1 has probability P1, event 2, independent of event 1, has probability P2. At least one event will occur with probability
P1 + P2 - (P1*P2)
May be this will help you understand better.
You're correct that they both call 1/8 of the time.
Now, button calls half the time, regardless of what SB does. That 1/2 already includes 1/8 chance that they both call. So, it is actually 3/8 chance that ONLY button calls and 1/8 chance they both do. Same goes for sb. 1/4 chance that SB calls is a sum of 1/8 that ONLY sb calls and 1/8 that he is overcalling button.
And the final answer is, 3/8 chance only button calls, 1/8 sb, 1/8 two calls, total 5/8 chance of getting one or two calls.
I'm awful at explaining things, do tell me if I only made it worse and need to rephrase it [img]/images/graemlins/grin.gif[/img]
Cezar
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