Question

Given that E and F are events such that P(E) = 0.5, P(F) = 0.4 and P(E∩F) = 0.3, then what will be the value of P(F|E)?

(a) 2/5

(b) 3/5

(c) 3/4

(d) 2/4

This question was posed to me during an online exam.

I want to ask this question from Conditional Probability in chapter Probability of Mathematics – Class 12

Answer 1

The correct choice is (b) 3/5

The explanation is: We know that P(F|E) = P(E∩F) / P(E). (By formula for conditional probability)

Value of P(E∩F) is given to be 0.3 and value of P(E) is given to be 0.5.

P(F|E) = (0.3) / (0.5).

P(F|E) = 3 / 5.