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Compound Events & Sample Space

Total questions: 14

Worksheet time: 38mins

Name
Class
Date
1.
Sample space is defined as...
a)
the likelihood of an event occurring.
b)
a diagram of all possible outcomes.
c)
the probability of an event.
d)
a list of all possible outcomes.
2.
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
3.

What is the sample space for the jar of marbles?

a)

red

b)

red, yellow, green, blue

c)

red and yellow

d)

red and green

4.

19) Oliver can go to 1 restaurant for either lunch or dinner. His choice of restaurants is listed below.

  •  Chinese

  •  Italian

  •  Mexican

  •  Barbecue

Which list shows all the possible outcomes of 1 restaurant and 1 meal?


a)

Chinese, lunch

Chinese, dinner

Italian, Chinese

Italian, dinner

Mexican, lunch

Mexican, barbecue

Barbecue, lunch

Barbecue, dinner


b)

Chinese, lunch

Italian, lunch

Mexican, dinner

Barbecue, dinner


c)

Chinese, lunch

Chinese, dinner

Italian, lunch

Italian, dinner

Mexican, lunch

Mexican, dinner

Barbecue, lunch

Barbecue, dinner


d)

Chinese, lunch

Chinese, dinner

Italian, lunch

Italian, dinner


5.

What is the sample space for the spinner shown?

a)

{yellow}

b)

{yellow and blue}

c)

{red and green}

d)

{yellow, blue, green, red}

6.

What is the sample space for choosing a letter from the word "DIVIDE?"

a)

D, I, V, E

b)

D, I, V, I, D, E

c)

D

d)

I

7.
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
8.
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
9.
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
10.

Alex tosses two dimes in the air. What is the probability that both dimes will and on heads?

a)

1/2

b)

1/4

c)

3/8

d)

1/6

11.

Two number cubes are rolled. What is the probability that the first number cube shows a five and the other number cube shows an even number?

a)

1/6

b)

1/12

c)

3/6

d)

1/2

12.

What is the probability of rolling an even number and spinning green?

a)

1/8

b)

1/15

c)

4/8

d)

1/10

13.

What is the probability of rolling a number greater than 4 and spinning blue?

a)

1/24

b)

1/12

c)

1/6

d)

1/4

14.

What is the probability of drawing a red color and a number 3?

a)

1/10

b)

1/8

c)

3/15

d)

5/15

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