I was wanting to know what everyone's thoughts are on this hand:

Hero: A QQ 10 2
Villian #1: AK X, X, X
Villian #2: AKX, X, X

Hero is UTG
Villian 1 is the cut off
Villian 2 is the button

The flop was taken with 6 people. No preflop raise although Hero considered this, the game is loose and generally passive.

The flop comes Q6:10

Hero bets, 3 people fold and Villian 1 and Villian 2 are left to play against Hero.

The Turn Comes J

Hero checks, Villian 1 Checks, Villian 2 bets, Hero double checks his cards realizes he has 19 scoop out (10 for top set, 9 for nut flush) and likely 2 outs to chop 3 ways. Hero elects to raise, Villian 1, 3 bets, Villian 2 calls,

Question: Should Hero cap the betting here?

With 19 scoop outs and 1 card left to come Hero has (19/43)= 44% chance of scooping, (2/43)=4.5% chance of chopping, but is currently behind in the hand.

Thoughts, What is actually in the pot at this time may actually be immaterial to the decision, because Hero knows both Villian's will call one more bet. Hero is getting 2 to 1 on his money. This implies needs only 33% equity to make this a break even proposition.

Furthermore, other players were saying Hero did not have 44% scoop prabability. They quote the rule of 4 and 2. I think I have proven with the previous math that the rule of 4 and 2 doesn't work in Big O.

Villain*

Cap for the love of god

You did have 10 outs for top set, but 2 of them duplicated with 2 of your 9 flush outs

Your unknown cards is total 40, instead of 43.

You should cap to capture the equity.

9 outs (3 true outs technically) for top set/quads and 8 outs for nut flush. Unknown cards is 39 if you know the other 2 have ak. All other advice good including how to spell villain

I had never heard of the rule of 4 and 2, but it applies to Hold'em, not Omaha and not Big O.

As others have said, your math is wrong. You can't add 10 outs to pair the board plus 9 outs for a flush because one of those cards fits both categories (the 6) and one of those cards is already in your hand (the T). So you have 17 outs to make the nut flush, the top boat, or quads.

But wait. You know with certainty that both of your opponents have AK, but you don't yet know if one of them has the K. There is a 50% chance that one of them has the K. This reduces your scoop outs by 0.5. So you have 16.5 outs to make the nut flush, the top boat, or quads.

You also have 1.5 outs to hit a non-spade King for a three-way chop. Why 1.5? If both your opponents have a King, then there are 2 Kings left in the deck, but 50% of the time one of those remaining Kings will be the K, which is a scoop out, not a chop out.

For those 1.5 outs to make Broadway, your equity is 33%. So for simplicity's sake, we can just say you have 17 outs (16.5 + 33% of 1.5).

Now how many unknown cards are there? 52 minus the 5 in your hand minus the 4 on the board minus the 2 Aces and the 2 Kings in your opponents' hands = 39.

17 outs divided by 39 unknown cards = 44%. That's your equity in this hand, and it includes chop outs as well as scoop outs. So, yes, if you're getting 2 to 1, raise every chance you can on the turn.

Just remember: 56% of the time, you're going to miss, you're going to quietly fold to a single bet on the river, and your opponents are going to wonder what the heck you were doing raising and capping the turn when you can't even call a single bet on the end. Let them wonder. Let them think you're crazy or dumb. You know you made the right decision by raising and capping the turn—that's really all that matters.

Definitely jam the turn. I also strongly prefer a raise pre.

http://www.propokertools.com/simulat...c+kd&s=generic

Cap it. There are weaker hands closer to ~33 percent equity that you would also cap with, you can fiddle around with propokertools.com and learn quite a bit about these turn situations.

How do you know they have AK when they started the hand?

You need to think ranges.

Thank you for all your posts. These have really helped, especially the corrections to the computation of my equity.