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Old 11-18-2004, 12:18 PM
gaming_mouse gaming_mouse is offline
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Join Date: Oct 2004
Location: my hero is sfer
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Default Re: Probability - Getting dealt 3 of the same card in 5 Stud

The number of people being dealt cards will not affect the calculation.

There are 3 jacks left in the deck out of 51 cards total.

There are two possibilites:

1) 3 of the next 4 are jacks
2) 2 of the next 4 are jacks

There are 48 four-card hands fitting description 1).

There are 3*48*47 = 6768 four-card hand fitting description 2).

There are nCr(51,4)=249900 possible four-card hands possible given the J already in your hand.

Thus the chance you are looking for is:

(6768 + 48) / 249900 = .0272

Slighly under 3%

gm
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