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Q.

The probability that a man will live for 10 more years is 1/4 and the probability that his wife will live for 10 more years is 1/3. The probability that neither the husband nor the wife will be alive after 10 years is

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a

1112

b

512

c

712

d

12

answer is B.

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Detailed Solution

We have P(H) = 1/4 and P(W) = 1/3. Now, P(neither husband nor wife will be alive)

=PH′∩W′=PH′PW′=(1−P(H))(1−P(W))=(1−1/4)(1−1/3)=1/2

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