Holdem AK running into AA 9-handed

[BruceZ]

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Ok, this must have been asked like 10000 times before and I apologize should I have failed more than average when using the forum search engine.

The game is Texas Holdem and it´s a nine handed table. How many % of the time does some villain have AA if Hero has AK?

Thank you very much in advance.

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You can do this one in your head since at most 1 opponent can have AA when you have AK. Since the probability that a particular opponent has it is 3/C(50,2) = 3/1225, the probability that one of 8 opponents has it is exactly 8*3/1225 or about 2.0%.

EDIT: Originally computed for 9 opponents rather than 8.