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the definitive AK flop thread
I was inspired to do a little math after the following hand:
PokerStars No-Limit Hold'em, $0.50 BB (9 handed) converter
UTG+1 ($46.60) Reads: raises KK PF and bets half pot with an overpair on FTR
MP1 ($14.55)
MP2 ($48)
MP3 ($61.80)
CO ($51.90)
Button ($8.70)
Hero ($59.65)
BB ($46.45)
UTG ($55.55)
Preflop: Hero is SB with Ad, Kc.
1 fold, UTG+1 calls $0.50, 2 folds, MP3 calls $0.50, 1 fold, Button calls $0.50, Hero raises to $3.5, 1 fold, UTG+1 calls $3, MP3 folds, Button folds.
Flop: ($8.50) 7d, 5c, Kh (2 players)
Hero bets $8.1 (I think I meant to hit 5 on the numpad), UTG+1 raises to $16.2, Hero folds.
Final Pot: $32.80
My play here had something to do with my previous AK post and the conclusions reached therein. http://www.flopturnriver.com/phpBB2/...oker-31418.htm
However, after crunching the numbers, I realized I made a $12 mistake by folding.
PokerStove
equity (%) win (%) tie (%)
Hand 1: 44.8221 % 31.57% 13.25% { AdKc }
Hand 2: 55.1779 % 41.92% 13.25% { AA, 77, 55, AKs, KQs, AKo, KQo }
With that equity and winning $59.7 when I win and losing $26.9 when I lose, I had a EV of nearly +$12 by making a pot commiting raise, instead of the $0 I got by folding.
With similar calculations, I discovered that if the board had 2 of a suit that my equity would be even higher since I'm a 65% favorite against a flush draw. I also calculated my equity on 2 of a suit Flops if I called the Raise on the Flop and then led a safe Turn card compared to just Reraising the Flop. Reraising the Flop had more EV since you're more likely to make your opponent make a mistake with a Flush Draw on the flop rather than on the Turn and plus you won't lose the amount of your call on the Flop.
In fact, this line would not begin to become -EV until our stacks were 250BBs, which almost never happens at Small to Medium stakes NLHE. Of course this is barring a read that an opponent is a Rock, in which case your equity goes down to below 25%.
Conclusions: When HU against a non-Rock opponent with TPTK on a non threatening board, AK is good enough for stacks, 2 of a suit or not. When 3 way or more (from the previous thread), it isn't against non-Maniac opponents.
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