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If the probability that A will live 15 years is 7/8 and that B will live 15 years is 9/10 , then what is the probability that both will live after 15 years?

  • a)
    1/20

  • b)
    63/80

  • c)
    1/5

  • d)
    None of these

Correct answer is option 'B'. Can you explain this answer?
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If the probability that A will live 15 years is 7/8 and that B will li...
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If the probability that A will live 15 years is 7/8 and that B will li...
Given, P(A lives 15 years) = 7/8
P(B lives 15 years) = 9/10
We need to find the probability that both A and B will live after 15 years.

Solution:
Let's assume that events A and B are independent, i.e., the survival of A does not affect the survival of B and vice versa.
Then, the probability that both A and B will live after 15 years can be calculated as follows:
P(A and B live after 15 years) = P(A lives 15 years) × P(B lives 15 years)
= (7/8) × (9/10) = 63/80
Therefore, the probability that both A and B will live after 15 years is 63/80.

Answer: Option B.
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If the probability that A will live 15 years is 7/8 and that B will live 15 years is 9/10 , then what is the probability that both will live after 15 years?a)1/20b)63/80c)1/5d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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