not getting AA after 1500 (probability problem)

[DWarrior]

A guy and I are in the middle of a dispute about some simple statistics. We'd like to figure out the % chance of you not getting Pocket Aces after 1500 hands. If somebody could post the work as well as a name of the rule, it'd be awesome.

Thanks for your help

[LetYouDown]

(220/221)^1500 = .111%

Essentially it boils down to the odds of getting a hand other than pocket Aces (which is 220/221), 1500 times in a row.

[DWarrior]

sweet, I win $25 :P