Poker Theory Question

[AaronBrown]

If you have your last dollar in the pot, you obviously call anything. You win 50% of the time.

If you have one more ante/blind left, you call if you have better than a 50% chance of winning, not otherwise. You win 5/8 of the time, because half the time you fold at wait for the next hand, with a 50% expectation, and the other half you have an average 75% chance of winning. That's not really true, because even A A is not 100% sure of winning, but I was trying to come up with something approximate quick.

For the next bet, you'll insist on a minimum probability of winning of 5/8. 3/8 of the time you'll have an average of 13/16 and 5/8 of the time you'll stay at 5/8. If you keep working this way, you should get the formula.

[AaronBrown]

But your list is for 10-handed. Heads up is different. In 10-handed, you need a pretty good hand to win. Heads up, even a lowly pair of twos is likely to win.

[piggity]

[ QUOTE ]
But your list is for 10-handed. Heads up is different. In 10-handed, you need a pretty good hand to win. Heads up, even a lowly pair of twos is likely to win.

[/ QUOTE ]

No, option #5 is for ten-handed. Option #4 is for heads up.