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 neither will be alive in 10 years is
A. 5/12
B. 7/12
C. 1/2
D. 11/12
Answer: Option C
Solution(By Examveda Team)
Probability that a man live more than 10 years = 1/4.Probability that man not live more than 10 years = 1- 1/4 = 3/4.
Probability his wife live more than 10 years = 1/3.
Probability his wife not live 10 years = 1- 1/3 = 2/3.
Then, probability neither will in 10 years = (3/4) * (2/3) = 1/2.
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P(H)=1/4, P(W)=1/3
P(H`^ W`)=P(H`).P(W`)=3/4*2/3=1/2