Question

If A and B are two events such that P(A) > 0 and P(A) + P(B) >1, then P(B|A) ≥ `1 - ("P"("B'"))/("P"("A"))`

Options

• True

• False

Answer 1

This statement is False.

Explanation:

∵ P(B|A) = `("P"("A" ∩ "B"))/("P"("A"))`

= `("P"("A") + "P"("B") - "P"("A" ∪ "B"))/("P"("A")) > (1 - "P"("A" ∪ "B"))/("P"("A"))`