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The probability that a man lives after 10 years is 1/4 and that his wife is alive after 10 years is 1/3. The probability that neither of them is alive after 10 years is?

1/2
1/12
7/12
3/4

Correct Answer: 1/2

Explanation:

P(M) = 1/4; P(W)= 1/3
⇒ P (M) = 1 - 1/4 = 3/4
⇒ P(W)= 1 - 1/3 = 2/3
Reqd. probability = P(M) P(W) = 3/4 x 2/3 = 1/2

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