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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) 2/7The 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»

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.



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