Question

if A and B are independent events and P(A) and P(B) are both greater than 1/2, than P(A and B) is ______ greater than 1

A. Sometimes

B always

C never

Answer 1

permutation

Answer 2

If A and B are independent, then \(P(A \text{ and } B )=P(A \cap B) = P(A)P(B)\)
So a fraction times a fraction (less than 1) is always less than 1. Besides, a probability can never be greater than 1 anyway.

Even if P(A) = 0.99 and P(B) = 0.99, then P( A and B) = P(A)P(B) = 0.9801.

Answer 3

So is it never