Math gurus please help.
Say MP has JJ (which is better for MP than QQ). BB has QT. Stick all that into two dimes and Ice is a 73.81% favorite (BB has 21.4% chance).
Okay two scenarios:
1) POOOOOSH. Ice pushes, MP folds, and BB calls like it happened in the hand. At that point we are talking about just the $600 in profit Ice can win by pushing versus value betting. What's already in the pot is a sunk cost and shouldn't influence this decision.
So Ice said the guy calls about 1/2 the time. So Ice wins 600 about 1/2 the time. However, he's a 73.8% favorite and the QT guy will suck out sometimes. So that's 600 * .5 * .7381 = $221.4 EV
2) RAISE DECENT-- Ice puts in a $300 raise. He's going to call a river push if a flush hits (even though he'll hate it). Assume QT guy calls, and MP guy might call with his overpair.
Say MP will call 50% of the time with his overpair. So that's a potential profit of $450 (300 from BB who calls every time and 300/2 from MP who only calls 1/2 the time). Okay on that potential profit, Ice wins 73.8% fo the time for EV of $332. But Ice is going to call when the flush hits on the river. It will hit 21.4%. So he'll lose 300*21.4%= (64.2). That's a net EV of $332 less 64.2 = $267.8 EV
So Raising has a net EV of 267.8 while pushing has a net EV of 221.4. The added difference being that the guy with the overpair calls some.
Other notes: If MP with overpair only calls 33% of the time, it's about a push.
If in scenario 1, he'll call a push 66% of the time, then the EV for scenario 1 is 295 and better. Wow that 16% really adds up. So I guess, you really need a feel for if the guy will call the push. Great than 50% you should push?
Enough math for todayStatistics: Posted by T-Rod — Thu Jun 29, 2006 4:16 pm
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