# Simple Poker Odds Question
**URL:** https://boards.straightdope.com/t/simple-poker-odds-question/368320
**Category:** Factual Questions
**Created:** [August 11, 2006, 6:19pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320 "2006-08-11T18:19:55Z")
**Posts on this page:** 10
**Page:** 1
### Author:  [@Gangster\_Octopus](https://boards.straightdope.com/u/Gangster_Octopus)
#### Post date: [August 11, 2006, 6:19pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/1 "2006-08-11T18:19:55Z")
At a table of ten, what are the odds that there will be dealt AA, KK and QQ in the same hand?
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### Author:  [@Otto](https://boards.straightdope.com/u/Otto)
#### Post date: [August 11, 2006, 6:41pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/2 "2006-08-11T18:41:00Z")
> [@Gangster Octopus](#):
>
> 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.
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### Author:  [@MrSquishy](https://boards.straightdope.com/u/MrSquishy)
#### Post date: [August 11, 2006, 6:59pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/3 "2006-08-11T18:59:06Z")
> [@Gangster Octopus](#):
>
> At a table of ten, what are the odds that there will be dealt AA, KK and QQ in the same hand?
I imagine there’s someone here who can answer this, but if not [The Wizard Of Odds](http://wizardofodds.com) will know.
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### Author:  [@Duke\_of\_Rat](https://boards.straightdope.com/u/Duke_of_Rat)
#### Post date: [August 11, 2006, 8:27pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/4 "2006-08-11T20:27:36Z")
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.
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### Author:  [@Survey1215](https://boards.straightdope.com/u/Survey1215)
#### Post date: [August 11, 2006, 8:49pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/5 "2006-08-11T20:49:17Z")
> [@Otto](#):
>
> 100%, if I’m playing the Queens.
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,](http://lgb.philgordonpoker.com/)have many of those types of numbers available.
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### Author:  [@Duke\_of\_Rat](https://boards.straightdope.com/u/Duke_of_Rat)
#### Post date: [August 11, 2006, 9:09pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/6 "2006-08-11T21:09:37Z")
> [@Survey1215](#):
>
> heehee. I know the feeling, brother.
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).
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### Author:  [@Otto](https://boards.straightdope.com/u/Otto)
#### Post date: [August 11, 2006, 10:12pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/7 "2006-08-11T22:12:00Z")
> [@Duke of Rat](#):
>
> 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.
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.
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### Author:  [@Opus1](https://boards.straightdope.com/u/Opus1)
#### Post date: [August 11, 2006, 10:31pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/8 "2006-08-11T22:31:08Z")
> [@Gangster Octopus](#):
>
> At a table of ten, what are the odds that there will be dealt AA, KK and QQ in the same hand?
[1-(220/221)^10]^3 ~= 1 in 11472.
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### Author:  [@garygnu](https://boards.straightdope.com/u/garygnu)
#### Post date: [August 11, 2006, 10:34pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/9 "2006-08-11T22:34:57Z")
> [@Opus1](#):
>
> [1-(220/221)^10]^3 ~= 1 in 11472.
So it’s pretty common, then.
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### Author:  [@Gangster\_Octopus](https://boards.straightdope.com/u/Gangster_Octopus)
#### Post date: [August 11, 2006, 11:08pm UTC](https://boards.straightdope.com/t/simple-poker-odds-question/368320/10 "2006-08-11T23:08:43Z")
> [@Opus1](#):
>
> [1-(220/221)^10]^3 ~= 1 in 11472.
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.