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Compound Probability Tree

Total questions: 16

Worksheet time: 2hrs 25mins

Name
Class
Date
1.
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
2.
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
3.

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

4.
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
5.
a)
6
b)
12
c)
2
d)
10
6.

A Tree Diagram is

a)

A written list of all possible outcomes

b)

A description of all possible outcomes

c)

A drawing with branches of all possible outcomes

7.

List the possible outcomes in the sample space for flipping a coin.

a)

heads

b)

tails

c)

heads and tails

d)

1,2,3,4,5,6

e)

1,2

8.

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

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

10.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
11.

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

12.

What is the probability that you will get mushrooms on your pizza?

a)

2/10

b)

2

c)

2/5

13.

What is the probability that player A and Player B will not tie?

a)

3/9

b)

6/9

c)

2/9

d)

even chance

14.

What is the probability of rolling an EVEN number on a die and then landing on HEADS on a coin?

a)

1/2

b)

3/6

c)

3/12

d)

3 and 1

15.

What is the sample space when you roll a die and then flip a coin?

a)

1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T

b)

2

c)

1,2,3,4,5,6,H,T

16.

Which tree diagram has the most possible outcomes?

a)
b)
c)