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Probability, Tree Diagrams and Sample Space

Total questions: 20

Worksheet time: 26mins

Name
Class
Date
1.

What information does a tree diagram provide?

a)

Average Results

b)

Consistency Correlations

c)

Directional Distribution Counts

d)

Possible Outcomes

2.

A native flowering plant has several varieties. The color of the flower can be red, yellow, or white. The stems can be long or short and the leaves can be thorny, smooth, or velvety. How many variations can there be?

a)

8

b)

18

c)

21

d)

27

3.

If Eduardo flipped a coin three times, his sample space of results would contain how many variations. Remember that order matters.

a)

4

b)

8

c)

12

d)

14

4.

In Billy's sock drawer, he has loose socks of three colors (red, white and brown). If he reaches in twice, what is the total possible of combinations he could grab?

a)

3

b)

6

c)

9

d)

12

5.

During snack time, the students were offered their choice of either white or chocolate milk, and either chocolate chip or oatmeal cookies. How many variations were possible?

a)

1

b)

2

c)

4

d)

6

6.

For the upcoming semester at college, Lyric has to select one literature course and her choices are world literature, American literature or British literature. She'll also have to select a history class that either focus of ancient history, U.S. history or modern history. She's also picking between four physical education classes - golf, racquetball, bowling or swimming. If she made a tree diagram to show all the possible combinations, how many different possibilities would there be?

a)

10

b)

13

c)

27

d)

36

7.

Spencer has an eight-sided die that is marked from 1 to 8. if he rolls it twice, how many number combinations would be possible?

a)

8

b)

16

c)

64

d)

80

8.

If Alonzo orders a cheeseburger, he first must decide if he wants a single patty or a double. Then, he has to choose either cheddar cheese, Swiss cheese or pepper jack cheese. Finally, he has to pick mayonnaise or mustard. If he created a tree diagram for his choices, how many different variations would there be available?

a)

7

b)

12

c)

19

d)

24

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.
How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?
a)
12
b)
7
c)
223
d)
64
11.

What is a sample space?

a)

All possible outcomes

b)

An area where you record your data

c)

The most probable responses to a question

d)

Whether or not a possibility is likely

12.

Simon is having cereal for breakfast and has the five choices pictured. What is the sample space of choices?

a)

Honey Nut Cheerios

b)

Cinnamon Toast Crunch, Honey Nut Cheerios and Reese's Puffs

c)

Cinnamon Toast Crunch, Cocoa Puffs, Honey Nut Cheerios, Reese's Puffs and Rice Chex

d)

Cinnamon Toast Crunch, Cocoa Puffs, Frosted Flakes, Honey Nut Cheerios, Reese's Puffs and Rice Chex

13.
When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible? 
a)
13
b)
32
c)
60
d)
16
14.

If a bag has red, blue, green and yellow marbles in it, and you reach in one time to grab one, what is the sample space of possible outcomes?

a)

Green

b)

Red

c)

Green or Red

d)

Red, Blue, Green and Yellow

15.

If Lena has four aces in her hand, one of each suit, which list represents the sample space of outcomes where she picks a red suit?

a)

Ace of Hearts

b)

Ace of Diamonds

c)

Ace of Hearts and Ace of Diamonds

d)

Ace of Clubs, Ace of Hearts, Ace of Spades and Ace of Diamonds

16.

The list shows all the possible outcomes for which experiment?

S = (Heads, Heads), (Heads, Tails), (Tails, Heads), (Tails, Tails)

a)

Flipping a coin one time

b)

Flipping a coin two times

c)

Flipping a coin three times

d)

Flipping a coin four times

17.

If you spin two spinners, one with 2, 4 and 6 and the other with 1, 3 and 5, what is the sample space?

a)

1, 2, 3, 4, 5, 6

b)

2, 4, 6

c)

1, 3, 5

d)

(1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5,6)

18.

If you spin two spinners, one with 2, 4 and 6 and the other with 1, 3 and 5, what is the sample space of responses where both digits are above 3?

a)

(1, 2), (3, 2)

b)

(3, 4), (3, 6), (5, 4), (5,6)

c)

(5, 4), (5,6)

d)

(1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5,6)

19.

What is the sample space for this spinner?

a)

1

b)

8

c)

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

d)

50/50

20.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears