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Tree Diagrams and Fundamental Counting Principle

Total questions: 16

Worksheet time: 47mins

Name
Class
Date
1.
Which method of finding the total outcomes of an event allows you to see all possible outcomes?
a)
fundamental counting principle
b)
experimental probability
c)
theoretical probability
d)
tree diagram
2.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
3.
A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
4.
You are about to take 6 question test. Each question has 4 possible answer choices. How many ways can you answer the test if you answer each question?
a)
4096
b)
24
c)
1296
d)
10
5.

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

a)

26 x 25 x 24 x 10 x 9 x 8 = 11232000

b)

26 x 26 x 26 x 10 x 10 x 10 = 17576000

c)

26 x 25 x 24 x 9 x 8 x 7 = 7862400

d)

26 x 26 x 26 x 9 x 9 x 9 = 12812904

6.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
a)
30
b)
17
c)
90
d)
270
7.
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
8.
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
9.
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
10.
How many total outfit options are represented?
a)
12
b)
22
c)
3
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.

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

13.

Which tree diagram has the most possible outcomes?

a)
b)
c)
14.
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
15.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
16.

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

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