Question

1. A card is selected from a deck and replaced. If this experiment is repeated a total of five times, find the probability of selecting exactly three clubs using the binomial distribution formula.

Answer 1

This will be a binomial distribution with parameters:

n = 5, p = P(Club) = 13/52 = 0.25

Hence,

P(Exactly 3 clubs)

= ⁵C₃ * (0.25)³ * (1 - 0.25)^{5 - 3}

= 0.0879