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?

Guest Jun 27, 2022

#2**+1 **

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 \(\frac{3^4}{52^4}*4!\)

Melody Jun 28, 2022