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.

Question

Philoid · Accepted 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