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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. The probability that neither of them will be alive in 10 years is
  • a)
    11/12
  • b)
    1/2
  • c)
    7/12
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The probability that a man will live 10 more years is 1/4 and the prob...
Probability that a man will live 10 more years = 1/4
Probability that man will not live 10 more years = 1 - 1/4 = 3/4
Probability that his wife will live 10 more years = 1/3
Probability that his wife will not live 10 more years = 1 - 1/3 = 2/3
Then, probability that neither will be alive in 10 years = (3/4) x (2/3) = 1/2
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Community Answer
The probability that a man will live 10 more years is 1/4 and the prob...

Given Information:
- Probability that the man will live 10 more years = 1/4
- Probability that his wife will live 10 more years = 1/3

To find:
- Probability that neither of them will be alive in 10 years

Solution:

- Let's assume events A and B represent the man and his wife living for 10 more years, respectively.
- The probability of both events happening is the product of their individual probabilities:
P(A ∩ B) = P(A) * P(B)
P(A ∩ B) = (1/4) * (1/3)
P(A ∩ B) = 1/12

- The probability that at least one of them will be alive in 10 years is the complement of neither of them being alive:
P(neither) = 1 - P(A ∩ B)
P(neither) = 1 - 1/12
P(neither) = 11/12

Therefore, the probability that neither of them will be alive in 10 years is 11/12.

So, the correct answer is option B) 11/12.
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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. The probability that neither of them will be alive in 10 years isa)11/12b)1/2c)7/12d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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