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Question
Let A and B be two events. If P(A | B) = P(A), then A is ______ of B.
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Solution
Let A and B be two events. If P(A | B) = P(A), then A is independent of B.
Explanation:
∵ P(A|B) = `("P"("A" ∩ "B"))/("P"("B"))`
⇒ P(A) = `("P"("A" ∩ "B"))/("P"("B"))`
⇒ P(A ∩ B) = P(A).P(B)
So, A is independent of B.
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