Odds of being dealt AA - Page 2

macawboy · #11 08-02-2007, 10:10 AM

So much for AA just reraised with it all in and got took out with two pair kings and tens.(no low)

Mendacious · #12 08-02-2007, 10:11 AM

[ QUOTE ]
Seems like an high percentage Mendacious but i will take your word on it.

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Oh God-- don't do that. I was trying to guess-timate in my head. Looks like 2-3% is correct.

1MoreFish4U · #13 08-02-2007, 10:22 AM

I can find all kinds of math stuff with google & wiki - but cant find the answer to this.

macawboy · #14 08-02-2007, 10:24 AM

Thanks for trying 1MoreFish your stats may not be for off.

rminusq · #15 08-02-2007, 10:36 AM

xCy, read x choose y, is the number of ways to be dealt y cards out of a choice of x.

Number of 4-card hands: 52C4 = 52*51*50*49/4! = 270725
Number of ways to get AAbc, where b and c are not aces: 4C2 [pick two of the four aces] * 48C2 [pick two non-aces] = 4*3/2 * 48*47/2 = 6768
The ratio is then 6768/270725 = 2.499%. So yeah, 2-3%.

macawboy · #16 08-02-2007, 10:42 AM

That will do for me.

macawboy · #17 08-02-2007, 12:55 PM

[ QUOTE ]
xCy, read x choose y, is the number of ways to be dealt y cards out of a choice of x.

Number of 4-card hands: 52C4 = 52*51*50*49/4! = 270725
Number of ways to get AAbc, where b and c are not aces: 4C2 [pick two of the four aces] * 48C2 [pick two non-aces] = 4*3/2 * 48*47/2 = 6768
The ratio is then 6768/270725 = 2.499%. So yeah, 2-3%.

[/ QUOTE ] Thanks that will do for me.

Buzz · #18 08-02-2007, 02:06 PM

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

KneeCo · #19 08-02-2007, 02:25 PM

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You'll be dealt AAAA 1/270725.

[/ QUOTE ]

I feel pride at my avatar being legit (except the added colour effect courtesy of gobbo).

Buzz · #20 08-02-2007, 03:13 PM

KneeCo - Your avatar is spectacular. I'm impressed. (That's genuine, not sarcastic).

Buzz