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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
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Solution
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"))`
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