Tree Diagram Worksheet

**Page 1**

1.

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

a. | 1 | ||

b. | $\frac{1}{2}$ | ||

c. | $\frac{1}{4}$ | ||

d. | $\frac{1}{3}$ |

Number of possible outcomes = 4.

The favorable outcome is (H, T).

Number of favorable outcomes = 1.

Probability (Head, Tail) =

Correct answer : (3)

2.

Tom can order a **thick** or **thin crust** pizza with 2 different toppings. The choices of toppings are **mushroom** and **onions**. Which diagram shows every possible combination of a pizza that Tom can order?

Draw a tree diagram to find the sample space.

The possible choices are as shown in Figure 4.

So, the tree diagram in Figure 4 shows the different choices that Tom has.

Correct answer : (0)

3.

Amy tossed a penny, a nickel, and a dime at the same time. Identify the tree diagram that shows all the possible outcomes.

a. | Tree diagram 2 | ||

b. | Tree diagram 4 | ||

c. | Tree diagram 1 | ||

d. | Tree diagram 3 |

Draw a tree diagram to find the sample space.

The possible outcomes are as shown in Tree Diagram 3.

So, Tree Diagram 3 shows all the possible outcomes.

Correct answer : (4)

4.

A store sells handbags in two colors: black and white. They are available in 2 different sizes: small and large. Which diagram shows every possible combination of the color and size of a bag that one can buy?

a. | Tree diagram 3 | ||

b. | Tree diagram 4 | ||

c. | Tree diagram 1 | ||

d. | Tree diagram 2 |

Draw a tree diagram to find the sample space.

The possible combinations are as shown in Tree diagram 2.

Tree diagram 2 shows all the possible choices available to buy a handbag.

Correct answer : (4)

5.

A bag contains 3 red and 5 white toys. Rose picked two toys one after the other. Which tree diagram shows all the possible combinations of toys that Rose picked?

a. | Tree diagram 2 | ||

b. | Tree diagram 1 | ||

c. | Tree diagram 3 | ||

d. | Tree diagram 4 |

Draw a tree diagram to find the sample space.

The possible outcomes are as shown in Tree Diagram 3.

Tree Diagram 3 shows all the possible outcomes.

Correct answer : (3)

6.

Sam needs to decide his snack. He can have **milk** or **coffee** followed by **chocolate chips** or **peanut butter cookies**. Which tree diagram shows the different choices that Sam has?

a. | Tree diagram 4 | ||

b. | Tree diagram 2 | ||

c. | Tree diagram 3 | ||

d. | Tree diagram 1 |

Correct answer : (4)

7.

There are two 'true or false' type of questions on a test paper. Pick the tree diagram that represents all the possible answers to these questions.

a. | Tree diagram 1 | ||

b. | Tree diagram 4 | ||

c. | Tree diagram 2 | ||

d. | Tree diagram 3 |

Correct answer : (3)

8.

A bag contains 3 yellow balls and 4 pink balls. Kay picked two balls one after the other. Which tree diagram shows all the possible outcomes?

a. | Tree diagram 1 | ||

b. | Tree diagram 2 | ||

c. | Tree diagram 3 | ||

d. | Tree diagram 4 |

Correct answer : (3)

9.

A tree diagram is useful in determining the __________ of a probability experiment.

a. | result | ||

b. | possible outcomes | ||

c. | event | ||

d. | None of the above |

Correct answer : (2)

10.

Use the tree diagram to find the number of possible outcomes when a coin is tossed twice.

a. | 2 | ||

b. | 1 | ||

c. | 4 | ||

d. | None of the above |

So, the number of possible outcomes is 4.

Correct answer : (3)