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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

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