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7.6 Understanding Compound Events Practice

Total questions: 20

Worksheet time: 3600secs

Name
Class
Date
1.
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
2.
At  a New Car Dealership a particular model 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
3.
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
4.
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
5.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?
a)
1
b)
2
c)
3
d)
93
6.
Cate's history quiz has 3 true/false questions.  When Cate takes the quiz, how many events will occur?
a)
2
b)
3
c)
8
d)
None of the these
7.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
8.
Find the total number of outcomes for picking a day of the week and a month of the year.
a)
19
b)
84
c)
60
d)
210
9.
How many total outfit options are represented?
a)
12
b)
22
c)
3
10.

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

a)

4 x 4 x 4 x 4 = 256

b)

4 x 3 x 2 x 1 = 24

c)

4 + 4 + 4 + 4 = 16

d)

4 + 3 + 2 + 1 = 10

11.

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

a)

3 x 14 = 42

b)

3 + 14 = 17

c)

14 x 14 x 14 = 2744

d)

14 x 13 x 12 = 2184

12.

Marissa brought 8 T-shirts and 6 pairs of shorts to summer camp. How many different outfits consisting of a T-shirt and a pair of shorts does she have?

a)

8 x 6 = 48

b)

8 + 6 = 14

13.

Which of the following uses the fundamental (basic) counting principle to show the total number of possible combinations of one color from each box?

a)

2 X 3 X 2 = 12

b)

6 X 2 = 12

c)

2 X 6 = 12

d)

12/12

14.

Mr. Perkinson has two boxes of candy. One has Reese's, Snickers and Twix. The other has Airheads, Blowpops and Nerds. Which of the following uses the Fundamental Counting Principle to show how many total possible choices there are?

a)

2 X 3 = 6

b)

3 X 3 = 9

c)

3 + 3 = 6

d)

9 X 1 = 9

15.

Shoe World sells shoes in 20 different styles. Each style comes in 4 colors and 9 sizes. If the store manager wants to have every possible combination, how many pairs must he keep in stock?

a)

36

b)

13

c)

720

d)

80

16.

0 % probabilities

a)

certain

b)

likely

c)

unlikely

d)

imposible

17.

85 - 90% probabilities

a)

certain

b)

likely

c)

unlikely

d)

uncertain

18.

100% , sure

a)

certain

b)

likely

c)

unlikely

d)

uncertain

19.

What is the probability the spinner stops on yellow?

a)

.05

b)

50%

c)

25%

d)

3/8

20.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4