The following statistic was shared on a radio show...and I have no idea who the speaker was.
A couple (i.e. two people) are both age 65.
The probability that one of them will live to age 91 is 50%.
The probability that one of them will live to age 96 is 25%.
Question 1: From this, can you calculate the probability that both members of the couple will live to age 91? age 96?
Question 2: It is common knowledge that women tend to outlive men. Thus, the above statistics would need to reflect that knowledge as well. Thus, if the couple is a man and a woman, what is the "true" probability that the woman will live to age 91? the man?