Based on the information in Exercise 5.20, if the student chosen is known to be on a sports team, what is the probability that the student is a female?
There are 100 males and 120 females in the graduating class of a local high school. Thirty-five percent of the graduating males are on school sports teams, as are 30% of the graduating females. A local businessperson is going to donate $1000 to the favorite charity of a randomly selected graduate. What is the probability that the graduate selected will be a male who is not a member of a sports team? What is the probability that the graduate will be either a female or a member of a sports team?