1. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College A child’s game has three picture cards. If you choose a card, replace it and choose again, how many different combinations could you get? Here’s a couple to start you off: Write these as: DD DC

2. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College There are 9 different outcomes – can you see how they have been listed? DD DC DM CD CC CM MD MC MM You probably listed yours like this – using letters.

3. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College You could also list them in a sample space diagram DDCDMD DCCCMC DMCMMM You can use the sample space diagram to answer probability questions.

4. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College You can use the sample space diagram to find probabilities. DDCDMD DCCCMC DMCMMM What’s the probability of getting matching cards? 3 9 = 1 3 What’s the probability of getting a dog card? 5 9

5. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College Another game has four different pictures. Draw a sample space diagram to show all the different outcomes of choosing two cards. This is a rabbit! What is the probability of having two matching cards?

6. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College DMCMMM DCCCMC DDCDMD DRCRMR RM RC RM RR P (same picture) = 4 16 = 1 4

7. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College Sample Space Diagrams for Two Dice 654321 1 2 3 4 5 6 Dice 1 Dice 2 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 For some questions it might be more useful to find the totals.

8. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College Sample Space Diagrams for Two Dice 654321 1 2 3 4 5 6 Dice 1 Dice 2 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 For some questions it might be more useful to find the totals.

9. Listing Outcomes Objective: To list the outcomes of an event and calculate probability. Lesley Hall @ Soar Valley College Sample Space Diagrams for Two Dice 654321 1 2 3 4 5 6 Dice 1 Dice 2 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 11 7 8 9 10 11 12 For some questions it might be more useful to find the totals.