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Sum

The probability that a 50-year old man will be alive till age 60 is 0.83 and the probability that a 45-year old woman will be alive till age 55 is 0.97. What is the probability that a man whose age is 50 and his wife whose age is 45 will both be alive after 10 years?

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#### Solution

Let A be the event that man will be alive at 60.

∴ P(A) = 0.83

Let B be the event that woman will be alive at 55.

∴ P(B) = 0.97

A ∩ B = Event that both will be alive.

Also, A and B are independent events

∴ P(both man and his wife will be alive)

= P(A ∩ B)

= P(A) · P(B)

= 0.83 × 0.97

= 0.8051

Concept: Independent Events

Is there an error in this question or solution?