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Question

In a college, 30% students fail in physics, 40% fail in mathematics and 20% fail in both. One student is chosen at random. The probability that she fails in mathematics if she has failed in physics is

A
23
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B
34
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C
12
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D
1
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Solution

The correct option is A 23
Let us define the following events:A: the student fails in mathematics'.B: the student fails in physics'.Given P(A)=0.4, P(B)=0.3 and P(AB)=0.2We need to find P(A|B).By conditional probability, P(A|B)= P(AB)P(B)P(A|B)=0.20.3P(A|B)=23

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