A small college reports that 55% of the student athletes on its campus are females. The college also says that 32% of its athletes are on a basketball team and 23% of its athletes are tennis players.

a. The conditional probability that an athlete is a tennis player, given that the athlete is a female is 25%. If you randomly select one student athlete, what is the probability that the athlete is a female tennis player?

b. The conditional probability that an athlete is a basketball player, given that the athlete is a male is 30%. If you randomly select one student athlete, what is the probability that the athlete is a male basketball player?

c. The conditional probability that the athlete is neither a tennis player nor a basketball player, given that the athlete is a female is 42%. If you randomly select one student athlete, what is the probability that the athlete is a female who plays a sport other than tennis or basketball?