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Old 05-15-2005, 01:15 AM
Siegmund Siegmund is offline
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Join Date: Feb 2005
Posts: 415
Default Re: More 5Draw Probability Questions

Three cards, each presumably of a different rank, have hit the muck.

gaming_mouse has ignored these 3 cards entirely, and given the odds for being dealt 2 pair if your first two cards are aces. The OP took these 3 cards into account only for pairing and not for kickers.

For a rank you discarded, there are 3 possible pairs and *42* possible kickers (the kicker can't make a full house and it can't be one of the other two cards you've already mucked.)

For the other nine ranks, there are 6 possible pairs and *41* kickers.

3*3*42 + 9*6*41 = 378+2214=2592.

To draw 3 aces: there are 2 aces and 45 non-aces left in the deck...

2*45C2 = 2*990 = 1980

...but of those 45C2 odd cards, 3*3+9*6 of them would make a full house. 2* (990-63) = 2 * 927 = 1854.
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