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Old 11-17-2004, 05:29 AM
gaming_mouse gaming_mouse is offline
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Join Date: Oct 2004
Location: my hero is sfer
Posts: 2,480
Default Re: ODDS ON BIG HANDS AFTER CUTOFF

I just realized you meant that you had AT, not you had "a 10" -- caps lock is confusing.

To adjust for that:

Oppo now had nCr(50,2) = 1225 possible holdings

Oppo cards you're worried about (no longer including AA):

AK - 12 cards
AQ - 12 cards
AJ - 12 cards
-------------
total: 36 cards

1 - (1189/1225)*(1188/1224)*(1187/1223)=.0859

So final answer is closer to 8%

ALSO NOTE: This is a VERY CLOSE approximation (within a percent for sure), but it is NOT EXACT. The reason it's not exact is that I'm assuming that the three players not having the cards in question are independent events, when in fact they are LOOSELY dependent.

gm
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