Question -
Answer -
Let the number ofspade cards among the five drawn cards be x.
As we can observe thatthe drawing of cards is with replacement, thus, the trials will be Bernoullitrials.
Now, we know that in adeck of 52 cards there are total 13 spade cards.
Thus, Probability ofdrawing a spade from a deck of 52 cards
= 13/52 = ¼
q = 1 – ¼ = 3/4
Thus, x has a binomialdistribution with n = 5 and p = ¼
Thus, P(X = x) = nCx qn-x px ,where x = 0, 1, 2, …n
