The odds against a husband who is 50 years old, living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5:3. Find the probability that the couple will be alive 20 years hence.
Answers
Given : The odds against a husband who is 50 years old, living till he is 70 are 7:5 and the odds against his wife who is now 40, living till she is 60 are 5:3
To Find : the probability that the couple will be alive 20 years hence.
Solution
The odds against a husband who is 50 years old, living till he is 70 are 7:5 Hence Husband will live after 70 years = 5(7 + 5) = 5/12
odds against his wife who is now 40, living till she is 60 are 5:3.
Hence Wife will live after 60 years = 3(3 + 5) = 3/8
he probability that the couple will be alive 20 years hence.
= (5/12). (3/8)
= 15 / 96
= 5/32
the probability that the couple will be alive 20 years hence. = 5/32
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