question_answer 62)

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that : (i) all the five cards are spades ? (ii) only 3 cards are spades ? (iii) none of a spade ?  

Answer:

Here probability of getting a spade from a deck of 52 cards             Let x is the number of spades, then x has the binomial distribution with n = 5, p =  and       (i) P(all 5 cards are spades)                   (ii) P (only 3 cards are spades)             (i)     P (none is a spade) = P(x = 0)