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

Category: QuestionsIf P(A) = 5/13, P(B) = 7/13 and P(A∩B) = 3/13, evaluate P(A|B).
Editor">Editor Staff asked 11 months ago

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
 
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I need to ask this question from Conditional Probability in division Probability of Mathematics – Class 12
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1 Answers
Editor">Editor Staff answered 11 months ago

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.