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

Step-by-step solution

Probability of getting an king card is 4 52 For X =1 , the outcome of king can be either in first draw of the second draw. aligned & P ( X =1)= 4 52 48 52 + 48 52 4 52 & =2 4 52 48 52 = 24 169 & P ( X =2)= 4 52 4 52 = 1 169 & P ( X =1)+ P ( X =2)= 24 109 + 1 169 = 25 169 aligned