Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. Find the probability distribution of the number of kings.

Explanation

`P(X=x) =^{n} C_{x} q^{n-x} p^{x}`


Here, n= number of cards drawn =2

p= Probability of getting king =`frac{4}{52}=frac{1}{13}`


`q=1-p=1-frac{1}{13}=frac{12}{13}`


Hence,

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