Question

If P(A) = 5/13, P(B) = 7/13 and P(A∩B) = 3/13, evaluate P(A|B).

(a) 1/7

(b) 3/7

(c) 3/5

(d) 2/7

The question was posed to me at a job interview.

I need to ask this question from Conditional Probability in division Probability of Mathematics – Class 12

Answer 1

Correct answer is (b) 3/7

To explain: We know that P(A|B) = P(A∩B) / P(B). (By formula for conditional probability)

Which is equivalent to (3/13) / (7/13), hence the value of P(A|B) = 3/7.