Free Printable Probability Area Models

1.

A game consists of two spinners. Spinner #1 consists of the colors green, blue, and red. The spinner has a 1/3 chance of landing on any color in Spinner #1. Spinner #2 also consists of colors green, blue, and red. On that spinner, green has a 1/2 chance of being landed on, blue has a 1/4 chance, and red has a 1/4 chance. Refer to the diagram, which shows an area model of the sample space. What fractions should represent the boxes containing A, B, and C?

a)

$A=\frac{1}{9}\ \ B\ =\ \frac{1}{9}\ \ \ C\ =\ \frac{1}{9}$

b)

$A=\frac{1}{6}\ \ \ \ \ B\ =\ \frac{1}{6}\ \ \ \ \ C\ =\ \frac{1}{6}$

c)

$A=\frac{1}{3}\ \ \ \ B\ =\ \frac{1}{6}\ \ \ \ \ C\ =\ \frac{1}{6}$

d)

$A=\frac{1}{6}\ \ \ \ B\ =\ \frac{1}{9}\ \ \ \ \ C=\frac{1}{12}$

2.

A game consists of two spinners. Spinner #1 consists of the colors green, blue, and red. The spinner has a 1/3 chance of landing on any color in Spinner #1. Spinner #2 also consists of colors green, blue, and red. On that spinner, green has a 1/2 chance of being landed on, blue has a 1/4 chance, and red has a 1/4 chance. Refer to the diagram, which shows an area model of the sample space. What is the probability of getting red on both spins? Express answer as a percentage, rounded to the nearest tenth.

(a)

3.

Leslie is playing the "Pick a Marble" game. A bag contains one red, one white, and one brown marble. Each marble has an equal chance of getting chosen. Leslie reaches in, picks a marble, notes its color, and returns it to the bag. She then picks another marble out of the bag and notes its color. The tree diagram shows the sample space for a first and second selection of the marble. How many different outcomes are there with two marble selections?

a)

3

b)

9

c)

12

d)

none of the above

4.

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will choose two white marbles? Enter your answer as a percentage rounded to the nearest tenth.

(a)

5.

A sports bag contains 3 tennis balls, 4 baseballs, and 8 golf balls. Each is equally likely to be chosen. Which of the following models could be used to simulate this situation?

a)

flipping a coin fifteen times

b)

spinning a spinner with three equal sections

c)

choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles

d)

rolling a number cube labeled one through six fifteen times

6.

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will choose at least one brown marble? Express your answer as a percentage rounded to the nearest tenth.

(a)

7.

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will not choose any red marbles? Express your answer as a percentage, rounded to the nearest tenth of a percent.

(a)

8.

Refer to the "Pick a Marble" tree diagram. What is the probability Leslie will choose two marbles of the same color? Express your answer as a percentage, rounded to the nearest tenth of a percent.

(a)

9.

Bucket #1 has 1 red, 1 blue

Bucket #2 has 1 red, 1 blue, 1 green, 1 yellow

One marble is chosen from each bucket.

What is the total number of outcomes?

a)

16

b)

7

c)

19

d)

12

10.

P (RR) = ______

a)

1/4

b)

4/12

c)

1/12

d)

1/7

11.

P (GG) = ______

a)

1/6

b)

9/12

c)

1/12

d)

2/12

12.

P (YY) = ______

a)

3/12

b)

0

c)

1/4

d)

4/12

13.

P (at least one G) = ______

a)

11/12

b)

9/12

c)

7/12

d)

3/4

14.

P (White shirt, White Pants) = ___

a)

1/20

b)

8/20

c)

1/9

d)

5/20

15.

P (outfit with brown pants) = ___

a)

1/9

b)

5/20

c)

1/4

d)

6/20

16.

P (yellow or purple shirt) = ___

a)

2/5

b)

4/20

c)

0

d)

8/20

17.

P (red shirt with jeans) = ___

a)

1/5

b)

4/20

c)

0

d)

1/20

18.

The extent to which something is likely to occur is known as -

a)

sample space

b)

an event

c)

probability

d)

data

19.

A set of all possible outcomes is known as -

a)

list

b)

complement

c)

sample space

d)

event

20.

The likelihood that an event will NOT occur is known as its -

a)

complement

b)

sample space

c)

opposite

d)

trial

Probability Area Models

Total questions: 20

Worksheet time: 20mins

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