Section 8 - Probability
The topic of probability has been broken down into the following sections:
Setting the scene: The last banana
You and a fellow castaway are stranded on a desert island playing dice for the last banana. You have agreed on these rule; you will role two dice:
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Setting the scene: The monty-hall problem
The Monty-Hall problem is concerned with a counter-intuitive game show problem that can be solved using probability.
Imagine you are on a game show, the game show host shows you three doors. Behind one of the doors is the star prize, a car. Behind the other two doors are booby prizes, two goats. You have no way of knowing which door conceal which item, and whichever door you pick you'll receive the prize behind it. You are asked to pick a door, but before it is opened the game show host opens one of the other two doors. Now, the host knows where the car is and he always opens a door to reveal a goat. You are then asked whether you would like to swap your chosen door for the one remaining closed door. The question is: Should you swap? Should you stick with your original choice? Or does it make no difference what you do? Which would give you the greatest chance of winning the car? |
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Success Criteria
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Topic Resources
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VCAA Questions
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