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