Question

The probability that a man will be alive in 25 years is 3/5, and that the wife will be alive in 25 years is 2/3. What's the probability that in 25 years, both will be alive?

Answer 1

P(both alive in 25 years) = (3/5)(2/3) = 2/5

Answer 2

The probability that both a man and his wife will be alive in 25 years is calculated by multiplying their individual probabilities, resulting in a 40% chance or 2/5.

Step-by-step explanation:

To calculate the probability that both a man and his wife will be alive in 25 years, we need to assume their lifespans are independent events. This means the chance of both events happening is the product of their individual probabilities. Given that the probability of the man being alive in 25 years is 3/5 (0.6), and the probability of the wife being alive is 2/3 (0.667), we multiply these probabilities to find the probability of both being alive.

So, the calculation is: (3/5) * (2/3) = 6/15 = 2/5, or 0.4, which means there is a 40% chance that both will be alive in 25 years.