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%
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