# probabilities

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Question: Five cards are dealt from standard deck of 52 cards, what is the probability of being dealt 3 kings?

Here is what I have

P(3 kings)=

C(4,3) = 3 out of 4 kings being dealt
C(48,2 = 2 out of remaning cards to complete 5 card deal

C(52,5) = 5 cards dealt out of 52 card deck.

C(4,3) = 4

C(48,2) = 48!
2!(48-2)!= 48X47/2 = 24X47=1128

C(52,5) = 2598960

P(3KINGS) = 47 / 108290

Correct?

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