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Today’s Lesson

Today’s Lesson. Using Tree Diagrams to Find the Probabilities of Events. Warm-up Activity. Let’s review adding and subtracting integers. 0 1 2 3 4 5 6 7 8 9. –9 –8 –7 –6 –5 –4 –3 –2 –1. On a number line, which direction do you move for a positive number?. Right.

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Today’s Lesson

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1. Today’s Lesson Using Tree Diagrams to Find the Probabilities of Events

2. Warm-up Activity Let’s review adding and subtracting integers.

3. 0 1 2 3 4 5 6 7 8 9 –9 –8 –7 –6 –5 –4 –3 –2 –1 On a number line, which direction do you move for a positive number? Right

4. On a number line, which direction do you move for a negative number? 0 1 2 3 4 5 6 7 8 9 –9 –8 –7 –6 –5 –4 –3 –2 –1 Left

5. 0 1 2 3 4 5 6 7 8 9 –9 –8 –7 –6 –5 –4 –3 –2 –1 Use the number line to solve the problems below. a. 7 – 10 = b. –8 + 11 = c. –3 – 6 = d. –5 + 9 = –3 3 –9 4

6. Solve the following problems. If needed, use a number line. a. –12 + 18 = b. 15 – 19 = c. –13 + 19 = d. –7 –13 = 6 – 4 6 –20

7. Whole-Class Skills Lesson Today we are going to conduct a number of experiments and list all possible outcomes using tree diagrams to find the probabilities of events.

8. Use a tree diagram to list all the possible outcomes. Hayley can choose from black or tan pants and a white, yellow, or purple shirt.

9. T B W Y P W Y P (TW) (TY) (TP) (BW) (BY) (BP)

10. B T W Y P W Y P (TW) (TY) (TP) (BW) (BY) (BP) List all the possible outcomes. {TW, TY, TP, BW, BY, BP}

11. B T W Y P W Y P (TW) (TY) (TP) (BW) (BY) (BP) How many possible outcomes are there? 6

12. 1 6 Possible Outcomes: {BW, BV, BP, TW, TY, TP} What is the probability of wearing tan pants and white shirt? There is only 1 outcome of tan pants and white shirt out of 6 possible outcomes.

13. 1 3 = {TW, TY, TP} 2 6 Possible Outcomes: {BW, BV, BP, TW, TY, TP} What is the probability of wearing tan pants?

14. List all the possible outcomes. At a city fair, Mitchell wants a candy apple. At a booth, he could choose from a red apple (R) or green apple (G), strawberry candy coating (S) or caramel coating (C), and peanut (P) or walnuts (W). Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW}

15. Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW} How many possible outcomes? 8

16. 2 1 = 8 4 {RSW, GSW} Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW} What is the probability of having strawberry candy coating and walnuts?

17. 6 3 = 8 4 {RSP, RSW, RCP, RCW, GSW, GCW} Possible Outcomes {RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW} What is the probability of having a red apple or peanuts?

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