Solveeit Logo

Question

Mathematics Question on Conditional Probability

If AA and BB are independent events then P(BA)P \left( \frac{B}{A} \right) =

A

P(A)

B

P(B)P(A)\frac{P(B)}{P(A)}

C

P(B)

D

P(A).P(B)

Answer

P(B)

Explanation

Solution

For independent events P(AB)=P(A).P(B)P(BA)=P(B)P(A \cap B) = P(A).P(B) \, P \left( \frac{B}{A} \right) = P(B)