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What is the probability of drawing 3 kings and 2 aces in a 5 card hand of poker?

Aug 10, 2020

#1
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What is the probability of drawing 3 kings and 2 aces in a 5 card hand of poker?

I am not sure but this is my guess.

I will assume all the kings are identical and all the aces are identical

Prob of getting  KKKAA

$$\frac{4}{52}\cdot \frac{3}{51}\cdot \frac{2}{50}\cdot \frac{4}{49}\cdot \frac{3}{48}= \frac{1}{1082900}\\ \text{But we can have these in any order }\\ 5!/2!3! = 10\\ Prob=\frac{1}{108290}$$

Maybe.

Aug 11, 2020