Quote:
Originally Posted by au4all
Why?
If Villain has KQ then 9.3% of the time we'll get a queen high flop. About 2% of the time we'll flop top two pair. 0.84% of the time we'll flop a flush. That's pretty much it for us getting a hand we can value-bet.
If Villain has AJ then 12.2% of the time we'll get an ace high flop, but clearly we'll be afraid to value-bet it.
6.4% of the time we'll make a flush by the river, but clearly we're afraid to semi-bluff if we do get a flush draw.
Of the two plans, you really prefer the second?
1. Fold
2. Hope to get a good flop (we're 7-1 to flop this well if Villain has a worse ace), where you can bluff-catch
#2. Let's say you're right and for simplicity let's say that every time we miss the flop we fold and lose the extra $20 we invested preflop. All we would need to do is win more than $140 when we do flop really well in these spots to be profitable. Keep in mind that there is already $57 in the pot dead preflop, so we'd only need to make an extra $83+ post flop to hit $140. That sounds like a lock to me, even if we have to play cautiously on the flop.
Math:
7 misses: -20 x 7 = $-140
1 hit: $140+ = profit
And you're not even counting the times when nobody else has an ace and/or a queen and then we hit the best hand and take it down without contest. Or when we flop a flush draw/combo draw vs. a big hand which can be extremely profitable when he hit the turn or river. You also forgot to count the times when we flop straights which might even give us a little better than 7:1.
Or another way to look at it:
Hand | Pot equity | Wins | Ties |
---|
AA, KK, QQ, JJ, TT, AK, AQ | 45.22% | 239,079 | 66,856 |
QQ, JJ, TT, 99, 88, 77, 66, 55, 44, 33, 22, AK, AQ, AJ, AT, KQ, KJ, KT, QJ, QT, JT | 26.50% | 151,382 | 17,525 |
AcQc | 28.28% | 136,750 | 68,241 |
I know it's not "exactly" this simple but based on these numbers we are about 2.536:1 to win this hand vs. the given ranges (which I think are pretty generous). We're getting 2.85:1 on a call preflop so it seems fine to me.
I'm also assuming we are a good player who will minimize loses when beat and maximize winnings when ahead which makes me even more comfortable.