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Question

In a group 14 males and 6 females, 8 and 3 of the males and females respectively are aged above 40 years. The probability that a person selected at random from the group is aged above 40 years, given that the slelected person is a female, is

A
27
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B
12
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C
14
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D
56
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Solution

The correct option is B 12
Let A is the event in which selected person is female and B is the event in which the selected person is above 40 years.
Apply the conditional probability method
P(BA)=P(BA)P(A)
=320620
=12

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