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# help probability

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If I choose four cards from a standard 52-card deck,with replacement, what is the probability that I will end up with one card from each suit, and that each card is Jack, Queen, or King?

Jun 27, 2022

#1
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The probability is 7/330.

Jun 27, 2022
#2
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the prob that the first one drawn is  J Q or K of hearts  is    3/52

the prob that the 2nd one drawn is  J Q or K of hdiamonds  is    3/52

the prob that the 3rd one drawn is  J Q or K of spades  is    3/52

the prob that the 4th one drawn is  J Q or K of clubs  is    3/52

These can be in any order so I would have to multiply by 4!

So I think the answer is    $$\frac{3^4}{52^4}*4!$$

Jun 28, 2022