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10.4 Sample Space and Counting Principle

Total questions: 20

Worksheet time: 59mins

Name
Class
Date
1.
How many total outfit options are represented?
a)
12
b)
22
c)
3
2.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
3.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
4.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

5.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

6.
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 CORRECT Sample Space List of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
7.
Tree Diagram
a)
A written list of all possible outcomes
b)
A description of all possible outcomes
c)
A drawing with branches of all possible outcomes
8.

Action: Roll a die

Event: Roll a number less than 4

Which outcomes are part of the event?

a)

1, 2, 3, 4, 5, 6

b)

1, 2, 3, 4, 5

c)

1, 2, 3, 4

d)

1, 2, 3

9.
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
10.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
11.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
a)
7 because 2 + 3 + 2
b)
12 because 2 x 3 x 2
12.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
13.
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
14.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
15.

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

16.

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

17.

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

a)

2/10

b)

2

c)

2/5

18.

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

19.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a number higher than 3 and flipping a tails?
a)
1/12
b)
2/12
c)
3/12
d)
4/12
20.

A seven-question quiz has 4 true/false questions followed by 3 multiple choice questions. For each multiple choice question there are four possible answers. In how many different ways is it possible to answer the seven questions?

a)

12

b)

80

c)

28

d)

1024