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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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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

0 1 2 3 4 5 6 7 8 9

–9 –8 –7 –6 –5 –4 –3 –2 –1

Left

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

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

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.

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.

T

B

W

Y

P

W

Y

P

(TW)

(TY)

(TP)

(BW)

(BY)

(BP)

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}

B

T

W

Y

P

W

Y

P

(TW)

(TY)

(TP)

(BW)

(BY)

(BP)

How many possible outcomes are there?

6

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.

1

3

=

{TW, TY, TP}

2

6

Possible Outcomes:

{BW, BV, BP, TW, TY, TP}

What is the probability of wearing tan pants?

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}

Possible Outcomes

{RSP, RSW, RCP, RCW, GSP, GSW, GCP, GCW}

How many possible outcomes?

8

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?

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?