In Exercise 11 from "Problems on Minterm Analysis," we have the following data: A survey of a represenative group of students yields the following information:
- 52 percent are male
- 85 percent live on campus
- 78 percent are male or are active in intramural sports (or both)
- 30 percent live on campus but are not active in sports
- 32 percent are male, live on campus, and are active in sports
- 8 percent are male and live off campus
- 17 percent are male students inactive in sports
Let A = male, B = on campus, C = active in sports.
- (a) A student is selected at random. He is male and lives on campus. What is the (conditional) probability that he is active in sports?
- (b) A student selected is active in sports. What is the(conditional) probability that she is a female who lives on campus?
Pfeiffer, Applied Probability, 3.2 Problems on Conditional Probability, exercise 2