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Old 08-02-2007, 02:06 PM
Buzz Buzz is offline
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Join Date: Sep 2002
Location: L.A.
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Default Re: Odds of being dealt AA

Macaw Boy - First think in terms of four cards, not just two.

You can be dealt AAXY, AAAY or AAAA.

If you just want AAXY,<ul type="square">6*C(48,2)/C(52,4) = 6*1128/270725 = 0.025, or about one out of forty.[/list]
If you also want to include AAAY, add to that<ul type="square">4*48/270725 = 0.00007, or about one out of 1410. This is too small to make much of a difference.[/list]
You'll be dealt AAAA 1/270725.

Those are all probabilities of being dealt hands with more than one ace.

Buzz
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