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Tree Diagrams

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

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

a)

result

b)

possible outcomes

c)

event

d)

none of the above

2.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

3.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

a)

1/2

b)

1/4

c)

3/4

d)

1/3

4.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
5.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?
a)
3/12
b)
1/2
c)
4/12
d)
0/12
6.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?
a)
2/12
b)
3/12
c)
4/12
d)
5/12
7.
A bag contains 3 white balls, 4 green balls. 2 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.
a)
5/13
b)
5/42
c)
6/42
d)
3/7
8.
A bag contains 3 white balls, 4 green balls. 3 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.
a)
5/18
b)
6/210
c)
6/18
d)
5/210
9.
How many total outfit options are represented?
a)
12
b)
22
c)
3
10.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
11.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
12.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

13.

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)

1/2

c)

1/4

d)

1/8

14.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

15.

Which tree diagram has the most possible outcomes?

a)
b)
c)