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The probability that a man will die in another 10 years is 1/4 and the probability that his wife will die in another 10 years is 1/3. Then, the probability that both of them will be alive in 10 years is
  • a)
    11/12
  • b)
    7/12
  • c)
    5/12
  • d)
    1/2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The probability that a man will die in another 10 years is 1/4and the ...
Let P(A) and P(B) be the probabilities that a man and a woman live for another 10 years respectively.
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Community Answer
The probability that a man will die in another 10 years is 1/4and the ...
Given Information:
- Probability that a man will die in another 10 years = 1/4
- Probability that his wife will die in another 10 years = 1/3

To find:
- Probability that both of them will be alive in 10 years

Solution:
Given that the probability of the man dying in 10 years is 1/4, the probability of the man surviving in 10 years is 1 - 1/4 = 3/4.
Similarly, the probability of the wife surviving in 10 years is 1 - 1/3 = 2/3.

Calculation:
The probability that both of them will be alive in 10 years is the product of the probabilities of the man and wife surviving:
P(both alive) = P(man survives) * P(wife survives)
P(both alive) = (3/4) * (2/3)
P(both alive) = 1/2
Therefore, the probability that both the man and his wife will be alive in 10 years is 1/2, which corresponds to option 'D'.
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The probability that a man will die in another 10 years is 1/4and the probability that his wife will die in another 10 years is 1/3.Then, the probability that both of them will be alive in 10 years isa)11/12b)7/12c)5/12d)1/2Correct answer is option 'D'. Can you explain this answer?
Question Description
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