SOLUTION: the probability that a nan will live 10 more years is 1/4 and the probability that his wife will live10 more years is 1/3. find the probability that (1).both will be alive in 10 ye

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Question 1143815: the probability that a nan will live 10 more years is 1/4 and the probability that his wife will live10 more years is 1/3. find the probability that (1).both will be alive in 10 years time (2) at least one will be alive in 10years time. (3) neither both will be alive in 10years time. (4) only the wife will be alive in 10years time.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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(1)  P = %281%2F4%29%2A%281%2F3%29.



(2)  P = 1 - %281-1%2F4%29%2A%281-1%2F3%29 = 1 - %283%2F4%29%2A%282%2F3%29 = 1 - 6%2F12 = 1 - 1%2F2 = 1%2F2.



(3)  Complement to probability of n. (2),  i.e.  P = 1%2F2.



(4)  P = %281-1%2F4%29%2A%281%2F3%29 = %283%2F4%29%2A%281%2F3%29 = 1%2F4.