Counting Story Project Exemplar

1. Counting Story Project Exemplar MDM4U

2. Counting Principles Lists Distinct Objects Pascal's Triangle Permutations Combinations Order No order Probability Likelihood Experimental Theoretical Charts Trial Sample Space Continuous Sample Space Discrete Sample Space Outcomes Complement Subset/Event Non-mutually exclusinve Mutually Exclusive Dependent Independent Additive Multiplicative Conditional s

3. Blaise Pierre Sasha Once upon a time there were three little pigs. Blaise, Pierre and Sasha. Each little pig decided to build their own house.

4. Each pig can choose to build their house in the mountains, on the lake, in the forest, or in the city.

5. Their house can be built with wood, brick or snow, and they can choose to build one or two levels.

6. Blaise There were so many choices, that Blaise is confused. What choices does Blaise have?

7. The possible choices are called outcomes. The total number of choices that Blaise has is 24. The collection of all possible choices is called the sample space. * Boxes can be moved to show answer

8. The first little pig, Blaise doesn’t want to have the same type of house as the second little pig, Pierre. He really wants a one level wooden house in the mountains. He decides that this is fine because Pierre isn't likely to choose the same house. The probability that Pierre makes the same choice as Blaise is , or approximately 4.2 %. * Boxes can be moved to show answer

9. Heads Tails Unfortunately, Pierre has already decided on a one level wooden house in the mountains. So, Blaise and Pierre decided to toss a coin 10 times to decide who would build this house. Blaise called heads on each toss. Make a prediction: Who do you think will build the house? Continue the Story

10. In groups of three continue the story including at least one of these concepts: