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The probability that a person will be alive after 20 years is 1/4 and that of his wife is 2/5. Find out the probability that both are not alive after 20 years ?
  • a)
    7/20
  • b)
    9/20
  • c)
    11/20
  • d)
    13/20
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The probability that a person will be alive after 20 years is 1/4 and ...
prob. That man is not alive = 3/4 and that of his wife = 3/5
Prob. That both will be dead = 3/4*3/5 = 9/20
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Most Upvoted Answer
The probability that a person will be alive after 20 years is 1/4 and ...
Given probabilities:
- Probability that a person will be alive after 20 years = 1/4
- Probability that his wife will be alive after 20 years = 2/5

Finding the probability that both are not alive after 20 years:
- Let's assume the event that the person is not alive after 20 years as A and the event that his wife is not alive after 20 years as B.
- The probability that both are not alive after 20 years can be represented as P(A and B) = P(A) * P(B) (since A and B are independent events)

Calculating the probabilities of not being alive:
- Probability that the person is not alive after 20 years = 1 - 1/4 = 3/4
- Probability that his wife is not alive after 20 years = 1 - 2/5 = 3/5

Calculating the probability that both are not alive:
- P(A and B) = (3/4) * (3/5) = 9/20
Therefore, the probability that both the person and his wife are not alive after 20 years is 9/20, which corresponds to option B.
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The probability that a person will be alive after 20 years is 1/4 and that of his wife is 2/5. Find out the probability that both are not alive after 20 years ?a)7/20b)9/20c)11/20d)13/20Correct answer is option 'B'. Can you explain this answer?
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