Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.
-
Upload
moris-short -
Category
Documents
-
view
215 -
download
0
Transcript of Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.
![Page 1: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/1.jpg)
Probability (Grade 12)
Daljit Dhaliwal
![Page 2: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/2.jpg)
Sticks and Stones game
![Page 3: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/3.jpg)
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.
![Page 4: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/4.jpg)
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
![Page 5: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/5.jpg)
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.
![Page 6: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/6.jpg)
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?
![Page 7: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/7.jpg)
Tree diagram
![Page 8: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/8.jpg)
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
DDD DDB DBD BDD
BBD BDB DBB BBB
![Page 9: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/9.jpg)
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
![Page 10: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/10.jpg)
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
![Page 11: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/11.jpg)
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
![Page 12: Probability (Grade 12) Daljit Dhaliwal. Sticks and Stones game.](https://reader036.fdocuments.us/reader036/viewer/2022062718/56649e915503460f94b96fd9/html5/thumbnails/12.jpg)
www.tee-cd.com/music/html