Question

It is given that the events A and B are such that P(A)=\frac14, P(A|B)=\frac12, P(B|A)=\frac23 Then P(B) is

• A. \frac16
• B. \frac13
• C. \frac23
• D. \frac12

Hint:

Use definition of conditional probability.

Answer 1

The Correct Option is B

P(A B)=P(A)P(B|A)=\frac14·\frac23=\frac16 P(A|B)=(P(A B))/(P(B))=\frac12 P(B)=\frac13