1. Probability (Grade 12) Daljit Dhaliwal

2. Sticks and Stones game

3. Object of the game Be the first player to move your piece around the board past your starting point. Set-Up: Each student should place a marker on opposite sides of the circle. The area inside the circle is used for throwing the sticks when playing the game.

4. Rules Determine which player will go first. Player 1 throws the three sticks into the center of the circle and moves his/her piece according to the results Player 2 then throws the sticks and moves accordingly. Play continues with players alternating turns. http://illuminations.nctm.org/Lessons/Sticks/Sticks-Demo.html

5. Moves and Rules  Special Rule: If one player’s marker lands on or passes another player’s, the player passed over must move his/her piece back to the starting point.

6. Discussion Which is more likely—a throw with one stick decorated or a throw with two sticks decorated? Which is more likely—a throw with three sticks decorated or a throw with no sticks decorated? Which is more likely—a throw with three sticks decorated or a throw with two sticks decorated? Which is more likely—a throw with no sticks decorated or a throw with one stick decorated?

7. Tree diagram

8. Probability A measure of the likelihood of an event is called the probability of an event Experimental Probability: Observed probability of an event A. P(A) = number of times A occurs total number of trials Theoretical Probability DDDDDBDBDBDD BBDBDBDBBBBB

9. Important Vocabulary Trial: A trial is one repetition of an experiment Random Variable: A variable whose value corresponds to the outcome of a random event Event: A set of possible outcomes of an experiment Simulation: An experiment that models an actual event

10. Key Terms Simple Event: An event that consists of exactly one outcome. Sample Space: The collection of all possible outcomes of the experiment. Event Space: The collection of all outcomes of an experiment that correspond to a particular event

11. Conditions for a “fair game” a game is fair if… –all players have an equal chance of winning, or –each player can expect to win or lose the same number of times in the long run

12. www.tee-cd.com/music/html