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Probability that a person will alive in next 25 years is 3/5 and of his wife 2/3. Find the following probability:

(i) Both remains alive.

(ii) None of two remains alive.

(iii) At least one remains alive.

(iv) Only wife remains alive.

1 Answer

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Best answer

According to question, prob. of one person alive

P(E) = 3/5

then p(\(\bar{E}\)) = 1 - 3/5 = 2/5

Probability that her wife remain alive P(F) = 2/5

then P(\(\bar{F}\)) = 1 - 2/3 = 1/3

(i) Prob. that both remains alive

By formula P(AB) = P(A).P(B)

P(EF) = P(E).P(F)

= 3/5 × 2/3 = 2/5

(ii) Probability that none of them remain alive

(iii) Probability that at least one remain alive

(iv) Prob. that only wife remain alive

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