You are playing in a 2/4 limit hold em game and have AK. the flop is K82 with 2 spades. after the betting there is 2 opponents and a 10 small bet pot.

opponent A has the nut flush draw, say A7 of spades

opponent b has 89.

If the turn is a blank and you bet out who benefits and who loses from opponent b's call? he will be getting 7 to 1 on his call.

lets take the same situation only this time opponent b is getting 15 to 1 on his call (or proper odds). now who benefits and who loses in this situation?

But in situation 1 he is calling incorrectly getting 7 to 1 odds on 4 outs.

what if he was recieving only 5 to 1?

Situation 2.

63% of the time, you'll win 15 bets, but 6% an Ace will hit and win you more bets from Player A's added action. About 21% of the time, you lose 2 bets including a river call if you choose to call. Depending on your position on Player B, you'll 2-3 bets 10% of the time.

But over a long term, Player B is making a 16-17:1 call on a 9:1 shot. Over the course of 100 hands, he'll lose -100 and make +160-170 making his call +EV.

You will win +15 bets 63% of the time (+945) and lose 1 bet 63% (-63). 6% of the time, you can figure yourself to win 1 or 2 extra bets on the river (between +96 and +102 [+99]) and lose 1 (-6). 10% of the time, you will lose 2 or 3 extras on the river for a total of 3-4 bets (between -30 and -40 [-35]). 21% of the time, you lose 2 total bets (-42).


945-63+99-6-35-42=+898

Player A will lose 1 bet 94% of the time (-94), 2 bets 6% (-12) and win 16-17 [16.5] bets 21% of the times (+346.5) making his call +240.5

All of you are making +EV moves in the moment and a significant portion of their equity comes from you calling when they hit. If you were folding to any spade, player A's equity falls about 12.5%.

Of course for the pot to get that big, player A, B, or someone at the table made large -EV moves.

Situation 1

You: [(63*7)-63]+ [(6*8.5)-6]+ [21*(-2)]+ [10*(-3.5)]= 378+45-42-35= +346

Player A: (21*8)+ (-73) + [6(-1.5)]= 168-73-9= +86

Player B: (10*9.5)+ (-100)= 95-100= -5

2% of the time, B could lose an extra bet if the 8 or 9 on the river is a spade to Player A not affecting the equity much, but still a horrible unless B can extract 3+ bets on the river which is still EV=0-10, but I'm guessing 2-3 on the river, putting the total at 9.5 to win.