Question

Given two events A and B such that `P(A/B)` = 0.25 and P(A ∩ B) = 0.12. The value of P(A' ∩ B) is ______.

Options

• 0.36

• 0.48

• 0.88

• 0.036

Answer 1

Given two events A and B such that `P(A/B)` = 0.25 and P(A ∩ B) = 0.12. The value of P(A' ∩ B) is 0.36.

Explanation:

We have `P(A/B)` = 0.25 and P(A ∩ B) = 0.12

`P(A/B) = (P(A ∩ B))/(P(B))`

0.25 = `0.12/(P(B))`

P(B) = `0.12/0.25`

P(B) = 0.48

P(A' ∩ B) = P(B) − P(A ∩ B)

= 0.48 − 0.12

= 0.36