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Question: The probability that a man will live 10 more years, is 1/4 and the probability that his wife will li...

The probability that a man will live 10 more years, is 1/4 and the probability that his wife will live 10 more years, is 1/3. Then the probability that non of them will be alive after 10

years, is -

A

5/12

B

½

C

7/12

D

11/12

Answer

½

Explanation

Solution

Let the name of the man be x and that of his wife be y. Then p(x will not be alive after 10 years and y will be not alive after 10 years) = 34×23=12\frac { 3 } { 4 } \times \frac { 2 } { 3 } = \frac { 1 } { 2 }