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.
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