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Statistics - Mega Millions Math - Help!

 
 
Reply Mon 19 Mar, 2012 04:29 pm
Got a question I was hoping one of you might be able to help me with -
Odds of winning the mega millions is 1/175,711,536 and the odds of getting pocket aces in a 9 player game of Texas holdem poker is I think is 1/220

Is there a way using statistics/math to correlate these two events and say the odds of winning the mega millions is the same as getting pocket aces ______ times is a row.

Thanks - just always wanted to know! Hope someone can come up with an exact answer.
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raprap
 
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Reply Thu 22 Mar, 2012 08:05 am
@Dan90210,
The same is a little different.

The first pair of pocket aces is about 4/52*3/51 (using a simplified model--single player) or 1 out of 221.

The same pair of aces is the 2*2/52*1/51 (using the same simplified model) 0r 1 out of 663

Assumming random shuffles after each deal the equal number of shuffles then would be

(1/221)*(1/663)^(n-1)=q/(175711536)
where n is the number of deals

Caveat a 9 player game of texas holdem would have different odds.

Rap
DrewDad
 
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Reply Thu 22 Mar, 2012 09:07 am
@raprap,
I don't think he's saying the same pair of aces every time; he's saying any pair of aces.


So if the odds of getting pocket aces is 1/221, then the odds of doing it twice in a row would be 1/48841, the odds of doing it three times in a row would be 1/10,793,861, etc.

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