Question

According to popular belief, 80% of adults enjoy drinking beer. choose a group of 2 adults at random. the probability that all of them enjoy drinking beer is: A 0.250 B 3.200 C 0.200 D 0.140

Answer 1

`P(X=2)=0.64`

Explanation:

-This is a binomial probability problem.

-Given n=2 and p=0.8, the probability that all of them enjoy beer is calculated as:

`P(X=x)={n\choose x}p^x(1-p)^(n-x)\\\\P(X=2)={2\choose2}0.8^2(0.2)^0\\\\=0.6400`

Hence, the probability that all of them enjoy drinking is 0.64