Two cards are drawn successively with replacement from a well shuffled pack of 52 cards, then mean of number of queens is

Step-by-step solution

Total number of cards =52 Total number of queens =4 Probability of getting a queen P( queen )= 4 52 = 1 13 Probability of not getting a queen P ( non queen )= 48 52 = 12 13 Let X be a random variable such that X = number of queens in 2 draws Case I: No queens are drawn (X=0) P ( X =0)= P ( non queen ) P ( non queen )= 12 13 12 13 = 144 169 Case II: One queen is drawn ( X =1) P ( X =1)= P ( non queen and queen ) or P ( queen and non queen) aligned & = 12 13 1 13 + 1 13 12 13 & = 24 169 aligned Case III: Two queens a