Question

Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6 and P(A' ∩ B') is ______.

Options

• 0.9

• 0.18

• 0.28

• 0.1

Answer 1

Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6 and P(A' ∩ B') is 0.28.

Explanation:

P(A' ∩ B') = P(A') × P(B')  ......(As A and B are independent, A' and B' are also independent.)

= 0.7 × 0.4

= 0.28