Section 8.1 Single-stage Experiments: Describes the difference between experimental and theoretical probability, provides examples of compound events, and introduces simulations for approximating theoretical probabilities. Subsections: Probabilities of Outcomes; Probabilities of Events; Mutually Exclusive Events; Odds; Experimental Probability; Simulations; Problem-Solving Application One-page Math Activity: Experimental Probabilities from Simulations
Section 8.2 Multistage Experiments: Introduces tree diagrams to determine the theoretical probability of dependent and independent events, and uses expected value to illustrate expected gain or lose and to determine the fairness of games. Subsections: Probabilities of Outcomes; Probabilities of Events; Complementary Events; Problem-Solving Application; Expected Value One-page Math Activity: Determining Fairness of Games
You may remember the TV game show where the contestant chooses 1 of 3 doors to try for a prize. The host then opens one of the remaining doors with junk behind it and asks if the contestant wishes to stick with the original choice or switch. Try to discover the winning strategy. A group discussion of the probabilities involved can lead to spirited disagreements.
