Zach6668
Thursday, October 4th, 2007, 7:26 AM
QUOTE (Dictius @ Thursday, October 4th, 2007, 2:45 AM)

Isn't it any hand that will give you better than 115:85 odds of winning 15/115 times? But how do you work out what range of hands that actually is?
Umm... that's a little more complicated, and I'm not even sure if my initial numbers were 100% correct. They're close, but I took 2 seconds to do it.
In reality, the biggest problem with this hand is that there are 6 people to act behind us, which basically decides our odds. I'd be far more likely to call with a wider range, if we're closing the action. In this hand, I actually probably would fold almost every thing, unless we know that no one will reraise behind us, and, it's more likely that they'll call, thus increasing our odds.
For the sake of the theory, let's take a look at a situation where we are in fact closing the action. Also, let's say the blinds 2/5, since it wasn't stated in the OP.
UTG raises to $15, with $100 left behind. We've got him covered, on the button. Meanwhile, the blinds folded out of turn (to make this easier).
Basically, $15 to us, and the pot is $22. We're getting ~1.47:1 immediately. Now, since we know he'll shove every flop, our implied odds are easy to calculate. Since we're calling $15, we get $100/$15:1, or 6.67:1. Add those up, and our complete odds, once implied are factored in, are 8.14:1.
So, the conclusion we can make from that, is that we need to hit the flop, ahead of AA, 1/9.14, or 10.9% of the time. We would also need to factor in times we outflop AA, but still lose at showdown. So really, we'd need the two conditions to apply: 1) Hit the flop hard enough (2 pair, sets, monster draws) AND 2) be ahead at showdown 10.9% of the time. In other words, we'd need to hit the flop higher than 11% of the time, to account for getting sucked out on once we flop strong. 2 pair, for example, is still going to lose ~25% of the time vs AA. I'm not exactly sure how to calculate that.
The most difficult part is deciding what range of hands we can call with. Once we figure out the exact percentage we need to win, we can probably mess around with PokerStove and find a range that works out to that.