The probability that Krishna will be alive in | vedclass

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(B) Let $A$ and $B$ be the events that Krishna and Hari are alive in $10$ years,respectively.Given $P(A) = \frac{7}{15}$ and $P(B) = \frac{7}{10}$.The

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$24$

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(B) Let $A$ and $B$ be the events that Krishna and Hari are alive in $10$ years,respectively.Given $P(A) = \frac{7}{15}$ and $P(B) = \frac{7}{10}$.The probability that Krishna dies is $P(A^c) = 1 - P(A) = 1 - \frac{7}{15} = \frac{8}{15}$.The probability that Hari dies is $P(B^c) = 1 - P(B) = 1 - \frac{7}{10} = \frac{3}{10}$.Since the events are independent,the probability that both die is $P(A^c \cap B^c) = P(A^c) 	imes P(B^c)$.$P(A^c \cap B^c) = \frac{8}{15} 	imes \frac{3}{10} = \frac{24}{150}$.

The probability that Krishna will be alive in $10$ years is $7/15$ and the probability that Hari will be alive in $10$ years is $7/10$. What is the probability that both will die within the next $10$ years (in $/150$)?

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