At a table of ten, what are the odds that there will be dealt AA, KK and QQ in the same hand?

100%, if I’m playing the Queens.

I imagine there’s someone here who can answer this, but if not The Wizard Of Odds will know.

I’m kinda interested in this one myself.

The Wizard of Odds says .45% chance of getting either of them in a 10 handed game, maybe this will help the mathmatically inclined take a stab at it.

heehee. I know the feeling, brother.

Sorry, I dont know offhand, but I believe many of the poker books, including Phil Gordon’s Little Green Book,have many of those types of numbers available.

Oh, I know a little about it. It was a hand last night that both me and **Gangster Octopus** were in when it happened. I had the QQ, he had the KK, another guy had the AA.

So we both have more than a passing interest in what the odds are of it happening.

And if it matters, it was No Limit Holdem, where each player only gets 2 cards, these pairs were all our pocket cards (just to distinguish from other games where each player may be dealt more than 2 cards, not sure if that matters. The .45% chance given above is based on a 10 player hand of Holdem).

Ha, that’s nothing. I was at a live game a while back where in one hand we had AA, KK, QQ, JJ and AK. I had the AK in early position, raised it and watched the table turn into an all in festival. I was compelled to call by the insane pot odds. The flop comes QJT. Two players make sets and I make Broadway. The turn is a blank but another ten comes on the river to make queens full. Evil. Pure evil.

[1-(220/221)^10]^3 ~= 1 in 11472.

So it’s pretty common, then.

Can you tell me what each of the numbers mean. For example, I am sure the 10 is for the number of players and the three is for the number of hands we are trying to analyze.