Q.

In a class 40% students study mathematics 25% study chemistry and 15% both mathe-matics and chemistry. If a student is chosen at random the probability that he studies mathematics, if it is known that he studies chemistry is

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a

18

b

38

c

25

d

35

answer is D.

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Detailed Solution

Given that: P(M)=40%, P(C)=25% and P(M∩C)=15%        P(MC)=P(M∩C)P(C)=15%25%=35
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In a class 40% students study mathematics 25% study chemistry and 15% both mathe-matics and chemistry. If a student is chosen at random the probability that he studies mathematics, if it is known that he studies chemistry is