Question

Let A and B be two events. If P(A) = 0.2, P(B) = 0.4, P(A ∪ B) = 0.6, then P(A|B) is equal to ______.

Options

• 0.8

• 0.5

• 0.3

• 0

Answer 1

Let A and B be two events. If P(A) = 0.2, P(B) = 0.4, P(A ∪ B) = 0.6, then P(A|B) is equal to 0.

Explanation:

From the given data P(A) + P(B) = P(A ∪ B).

This shows that P(A ∩ B) = 0.

Thus P(A|B) = `("P"("A" ∩ "B"))/("P"("B"))` = 0.