Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Let X denote the random variable of number of jacks obtained in the two drawn cards. Then P ( X =1)+ P ( X =2) equals

Step-by-step solution

Since two cards are drawn successively with replacement, we get P(X=1)=2 ^4 C₁ ⁴⁸ C₁ ⁵² C₁ ⁵² C₁ =2 4 48 52 52 = 24 169 aligned & P(X=2)= ^4 C₁ ^4 C₁ ⁵² C₁ ⁵¹ C₁ = 4 4 52 52 = 1 169 & P(X=1)+P(X=2)= 25 169 aligned