Q.

In a certain college 40% of men and 10% of women are taller than 2 meters. Further more in the college 60% of students are women. If  a student is selected at random and is taller than 2 meters, the probability that the selected student is a woman is

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a

311

b

811

c

511

d

611

answer is A.

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Detailed Solution

P(E1)=0.4,P(E2)=0.6

P(EE1)=0.4100=0.04,P(EE2)=1100=0.01

      Required Probability    =(0.6)(0.01)(0.6)(0.01)+(0.4)(0.04)=311

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