Hero starts w/black AAQJ on the button
Villian starts w/3456 of diamonds in the BB

Flop is (AdKd)2s, giving hero a set and villian a diamond draw. Check, Bet, Call.

Villian turns a flush with the 9d and bets right out for the size of the pot. Hero has 10 outs and 44 unseen cards, making him about a 3:1 dog

What implied odds are needed for the hero to call a pot sized bet on the turn? If the board pairs on the river, how often would the villian need to call a pot sized bet for the hero's call to be profitable? What if the villian had only bet 3/4 pot?

I've assumed a soul read, 100% certainty he has a flush with no redraws. What implied odds would be needed if there was a 70% chance of a flush, 20% a smaller set, and 10% he's bluffing with 2 pair and drawing dead.

Thanks for any help!

I'm no mathematician but I think this can be better expressed as a 3.5:1 dog.

This is extremely basic subtraction, you should be able to solve it yourself. If you are getting 2:1 and need to make 3.5:1, then if you subtract 2 from 3.5 you get 1.5. So you need to make on the river, in the long run, another 1.5 x the turn bet, either because villain calls your pot bet on the river half of the time, or he calls your half pot bet all the time.


Of course you could also be good on the turn, so you should factor that as well.


Either way I think you should fold.

Thanks, you made this simpler- always got a little confused with implied odds calculations.

I did a little more math and the actual pot odds needed are 3.3:1. The implied odds are lower in Omaha than other games, since players are less likely to pay off without the nuts. I'm looking for a rule of thumb for most situations: I'd say you'd need about 2.8:1 against a typical opponent. So in practice, probably you can call a bet of 60% pot, and 70% if there was some chance you had the best hand.

I'd say the looser the opponent, the bigger the bet you can call: he might be betting more hands that you beat, and he's more likely to pay off. Against a nit on the other hand, even a half pot bet would make the call incorrect, since you ain't gettin' paid!

Could you show that math? Because if there are 34 cards you don't like and 10 you do (as per your example), that works out to 3.4:1.

Yeah, you're right