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Question

Mathematics Question on Conditional Probability

If the events AA and BB are independent, then P(AB)P(A \cap B) is equal to

A

P(A)+P(B)P(A) + P(B)

B

P(A)P(B)P(A) - P(B)

C

P(A)P(B)P(A) \cdot P(B)

D

P(A)P(B)P(A)|P(B)

Answer

P(A)P(B)P(A) \cdot P(B)

Explanation

Solution

If AA and BB are independent events, then P(AB)=P(A)P(B)P ( A \cap B ) = P (A ) \cdot P (B )