The probability that a man will be alive 25 y | vedclass

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(A) Let $A$ be the event that the husband will be alive $25$ years hence.Let $B$ be the event that the wife will be alive $25$ years hence.Given that

Vedclass · Accepted Answer

$0.12$

Vedclass · Answer

(A) Let $A$ be the event that the husband will be alive $25$ years hence.Let $B$ be the event that the wife will be alive $25$ years hence.Given that the events $A$ and $B$ are independent,the probability that both will be alive is given by the product of their individual probabilities.$P(A) = 0.3$$P(B) = 0.4$Since the events are independent,the probability that both will be alive is $P(A \cap B) = P(A) 	imes P(B)$.$P(A \cap B) = 0.3 	imes 0.4 = 0.12$.

The probability that a man will be alive $25$ years hence is $0.3$ and the probability that his wife will be alive $25$ years hence is $0.4$. Find the probability that $25$ years hence,both will be alive.

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