Q. 255.0( 1 Vote )

Three cards are drawn successively with replacement from a well shuffled pack of 52 cards. Find the probability distribution of the number of spades. Hence, find the mean of the distribution.

Answer :

Let p be the probability of getting a spade card.


Let q be the probability of getting a spade card.



X follows a binomial distribution with,



The probability distribution is given by,


The required binomial distribution is given by,



So, mean = np



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