Question

The probability tjat man who is 45 years old will be alive till he becomes 70 is 5/12. The probability that his wife who is 40 years old will be alive till becomes 65 is 3/8. What is the probability that, 25 years hence, the couple will be alive

Answer 1

Step-by-step explanation:

Given The probability that man who is 45 years old will be alive till he becomes 70 is 5/12. The probability that his wife who is 40 years old will be alive till becomes 65 is 3/8. What is the probability that, 25 years hence, the couple will be alive

• Let M be the event that a 45 year old man will be alive at 70
• Given P(M) = 5/12
• Let W be the event that a 40 year old woman will be alive at 65
• Given P(W) = 3/8
• Since the number of years a man lives is independent of the number of years a woman lives
• P(M ∩ W) = P(M) P(W) since M and W are independent events
• Probability that a man who is 45 and his wife who is 40 will both be alive after 25 years = P(M ∩ W)
• = P(M) P(W)
• = 5/12 x 3/8
• = 5/32

Reference link will be

https://brainly.in/question/7795730