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Sample Space, Tree Diagrams, Probability

Total questions: 60

Worksheet time: 2hrs 25mins

Name
Class
Date
1.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

2.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
3.
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.
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 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
5.

What is the sample space when rolling a regular number cube?

a)

1

b)

2, 4, 6

c)

1, 2, 3, 4, 5, 6

d)

6

6.

What is the sample space for choosing 1 jelly bean from a jar of 4 red, 7 blue, and 2 green jellybeans?

a)

4, 7, and 2

b)

red, blue, green

c)

2 green

d)

4 red

7.

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

8.
How many total outfit options are represented?
a)
12
b)
22
c)
3
9.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
10.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
11.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
12.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
13.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
14.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
15.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
16.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice 
17.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
18.
How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?
a)
7
b)
5
c)
10
d)
12
19.

Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

a)

7 combinations

b)

12 combinations

c)

3 combinations

d)

4 combinations

20.

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

21.

The spinners are spun and the values are added together, What is the probability the sum is equal to ... 10?

a)

0

b)

1/2

c)

4/9

d)

1/3

22.

If I flip 2 coins, what is the probability of getting 2 heads?

a)

1/3

b)

1/2

c)

1/4

d)

1/5

23.

If I flip 3 coins, what is the probability of getting 2 heads and one tail?

a)

1/3

b)

1/4

c)

3/8

d)

5/8

24.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
25.

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

26.
What is the probability of getting any letter that is not A?
a)
6/8
b)
3/4
c)
2/8
d)
1/4
27.
You pick a marble from this bag.
What is the probability you will choose either a black or a white marble?
*remember to simplify* 
a)
3/5
b)
4/10
c)
3/10
d)
6/10
28.
A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?
a)
30%
b)
3/9
c)
1/4
d)
25%
29.
P(not A) = 
a)
6/8
b)
3/4
c)
2/8
d)
1/4
30.
100% chance of something happening
a)
Uncertain
b)
Impossible
c)
Possible
d)
Certain
31.
The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?
a)
½
b)
⅜
c)
¾
d)
⅙
32.

Find the probability of rolling greater than a 1 on a single die.

a)

6/6

b)

5/6

c)

4/6

d)

1/6

33.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

34.

Determine whether the event is impossible, unlikely, as likely as not, likely, or certain. You flip a fair coin and the coin will land heads up.

a)

impossible

b)

unlikely

c)

as likely as not

d)

likely

35.

Probability is defined as...

a)

the set of all possible outcomes.

b)

the likelihood that an event will happen.

c)

the fundamental counting principle.

36.

Tree diagrams are useful because...

a)

they are cool to draw.

b)

they only show you the best choices.

c)

they show you all possible outcomes.

37.
Which shows the sample space for flipping two coins? 
H = heads, T = tails
a)

{H, T}

b)

{HH, HT, TH, TT}

c)

{HH, TT}

d)

{HH, TT, TT, HH}

38.

What is the sample space for this spinner?

a)

1

b)

8

c)

{1, 2, 3, 4, 5, 6, 7, 8}

d)

50/50

39.

What is the sample space for this spinner?

a)

{ 1, 1, 1, 1, 2, 3, 4, 4 }

b)

{1, 2, 3, 4, 5, 6, 7, 8}

c)

{1, 2, 3, 4}

d)

{8}

40.
How many total outfit options are represented?
a)
12
b)
22
c)
3
41.

Which tree diagram has the most possible outcomes?

a)
b)
c)
42.

For breakfast, you can choose to eat cereal or a bagel and to drink coffee, OJ, tea, or water. What is the sample space of this situation?

a)

2, because there are 2 things to choose from to eat.

b)

4, because there are 4 things to choose from to drink

c)

10, because I see 10 different words on the tree diagram

d)

8, because there are 8 different outcomes (cereal, coffee) (cereal, OJ) (cereal, tea) (cereal, water) (bagel, coffee) (bagel, OJ) (bagel, tea) (bagel, water)

43.

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

a)

2/10

b)

2

c)

2/5

44.

Which ice cream flavor came 1st?

(a)  

45.

Which of these is not a Disney character?

a)

Mickey Mouse

b)

Snoopy

c)

Stitch

d)

Sully

46.

What is the body's largest organ?

a)

Skin

b)

Heart

c)

Lungs

d)

Stomach

47.

What animal has the longest lifespan

a)

Blue Whale

b)

Elephant

c)

Giant Tortoise

d)

Python

48.

What is the worlds largest country by area?

a)

Russia

b)

United States

c)

China

d)

Mexico

49.
What is the capital of Germany?
a)
Berlin
b)
Munich
c)
Frankfurt
d)
Hamburg
50.
What is the capital of Japan?
a)
Tokyo
b)
Hiroshima
c)
Kobe
d)
Osaka
51.
What is the capital of Canada?
a)
Montreal
b)
Toronto
c)
Ottawa
d)
Calgary
52.
What country is this?
a)
Italy
b)
Germany
c)
China
d)
Japan
53.

What is the biggest country in Southeast Asia?

a)

Thailand

b)

Indonesia

c)

Myanmar

d)

Cambodia

54.

This is the flag of...

a)

Slovenia

b)

Egypt

c)

India

d)

Norway

55.

Where can we see Eiffel Tower?

a)

Italy

b)

Germany

c)

Malaysia

d)

France

56.

This the flag of....

a)

The Netherlands

b)

Russia

c)

Germany

d)

Australia

57.

What type of animal is a seahorse?

a)

Crustacean

b)

Arachnid

c)

Fish

d)

Shell

58.

What is the fastest water animal?

a)

porpoise

b)

sailfish

c)

flying fish

d)

tuna

59.

What's his name?

a)

SCAR

b)

MUFASA

c)

LION-O

d)

SIMBA

60.

Where were fortune cookies invented?

a)

China

b)

San Francisco

c)

Washington

d)

Japan

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