1. Probability Spaces © ORB Education Quality Teaching Resources Visit http://www.orbeducation.com.au for the other resources in this pack. MaP028 - PowerPoint Selection 2

2. Probability Spaces This slide show will demonstrate how to draw a probability space and use it to calculate probabilities. The example will draw a probability space for a 6 sided and a 12 sided dice.

3. First we need a table Probability Space

4. Now consider the 6 sided dice Probability Space 6 Sided Dice

5. There are 6 possible outcomes Probability Space 6 Sided Dice 123456123456

6. Now consider the 12 sided dice Probability Space 12 Sided Dice 6 Sided Dice 123456123456

7. There are 12 possible outcomes Probability Space 12 Sided Dice 6 Sided Dice 123456123456 123456789101112

8. Add the scores per combination Probability Space 12 Sided Dice 6 Sided Dice 123456123456 123456789101112

9. 1 + 1 = 2 Probability Space 12 Sided Dice 6 Sided Dice 2123456123456 123456789101112

10. 1 + 2 = 3 Probability Space 12 Sided Dice 6 Sided Dice 2323123456123456 123456789101112

11. 1 + 3 = 4 Probability Space 12 Sided Dice 6 Sided Dice 234234123456123456 123456789101112

12. And so on … Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213123456123456 123456789101112

13. … until the table is filled. Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456123456 123456789101112

14. What use is this? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456123456 123456789101112

15. There are 72 possible outcomes shown in this table. Only one of them results in a total of 2. What is the probability of rolling the two dice and getting a total score of 2? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456789101112 123456123456 Consider the question below.

16. So the probability is… What is the probability of rolling the two dice and getting a total score of 2? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456789101112 123456123456

17. Now consider this question. 72 outcomes 6 of them result in a total of 8 What is the probability of rolling the two dice and getting a total score of 8? Probability Space 12 Sided Dice 6 Sided Dice 2345678910111213 34567891011121314 456789101112131415 5678910111213141516 67891011121314151617 789101112131415161718 123456789101112 123456123456

18. PowerPoints By S. Howarth © ORB Education Quality Teaching Resources Visit http://www.orbeducation.com.au for the other resources in this pack. MaP028 - PowerPoint Selection 2