The probabilities that a man and his wife live for 80 years are \( \frac{2}{3} \) and \( \frac{3}{5} \) respectively. Find the probability that at least one...

Assessment: JAMB UTME - Mathematics - 2012 Subject: General Mathematics

Question 1 Report

The probabilities that a man and his wife live for 80 years are \( \frac{2}{3} \) and \( \frac{3}{5} \) respectively. Find the probability that at least one of them will live up to 80 years

Answer Details
The probability that the man will not live for 80 years is 1 - 2/3 = 1/3. Similarly, the probability that the woman will not live for 80 years is 1 - 3/5 = 2/5. The probability that both of them will not live for 80 years is the product of their individual probabilities, which is (1/3) * (2/5) = 2/15. Therefore, the probability that at least one of them will live up to 80 years is 1 - 2/15 = 13/15. So, the answer is 13/15.

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