The probability that a randomly chosen citizenentity of Cygn

The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately 0.6. What is the probability that, in a randomly selected sample of two citizen-entities, all of them are of pension age?(Round your answer to four decimal places.)

Solution

n = 2 , P = 0.6 and q = 0.4

P(X=2) = 2C2 (0.6)² (0.4)⁰ = 0.36

so the probability of selecting two people and both of them are pension age is 0.36