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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) 2/4This 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»

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.



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