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Unit 6 Retest

Total questions: 75

Worksheet time: 3hrs 13mins

Name
Class
Date
1.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
2.
Draw a tree diagram in your math workbook.  Then answer this question. A girls' choir is choosing a uniform for their concert. They can pick red, green, or purple sweaters, and they can pick tan, white, or black skirts. The shoes they need come in gold and black. Assuming all the colors go together, how many different combinations can the choir pick?
a)
3 combinations
b)
8 combinations
c)
12 combinations
d)
18 combinations
3.
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 complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
4.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
5.
a)
6
b)
12
c)
2
d)
10
6.
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
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.
What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?
a)
2
b)
4
c)
6
d)
8
9.
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
10.
A particular model at a New Car Dealership 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
11.
How many total outfit options are represented?
a)
12
b)
22
c)
3
12.
List the possible outcomes in the sample space for flipping a coin.  
a)
heads
b)
tails
c)
heads and tails
d)
1,2,3,4,5,6
13.
What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?
a)
2
b)
4
c)
6
d)
8
14.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
15.

A store sells handbags in two colors: black and white. They are available in 2 different sizes: small and large. Which diagram shows every possible combination of the color and size of a bag that one can buy?

a)

Tree diagram 3

b)

Tree diagram 4

c)

Tree diagram 1

d)

Tree diagram 2

16.

A box has 3 limes, 5 grapes, and 2 oranges.


P (NOT lime)

a)

3/10

b)

30%

c)

7/10

d)

Answer Not Here

17.

A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens.


P(NOT red or blue)

a)

3/5

b)

2/5

c)

3/10

d)

7/10

18.

What is the probability of spinning at landing on a even blue piece?

a)

3/8

b)

1/8

c)

3/4

d)

Answer Not Here

19.

What is the probability of flipping tails two times in a row?

a)

3/8

b)

1/4

c)

5/8

d)

Answer Not Here

20.
A number is randomly selected from 0-10. What is the probability the number selected is greater than 5?
a)
1/2
b)
3/5
c)
2/5
d)
5/11
21.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
22.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
23.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
24.
Mr. Enstrom flipped a coin onto a black and red checkerboard. What is the probability that it will land heads up on a black square? 
a)
1/2
b)
1/4
c)
1/8
d)
1/16
25.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
26.
Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors. 
a)
1/12
b)
2/9
c)
3/7
d)
7/19
27.
If I spin 35 times, how many times should the color yellow show up?
a)
1
b)
5
c)
7
d)
10
28.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
29.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a yellow candy, not replacing it, then selecting a green candy?
a)
1/5
b)
3/19
c)
3/95
d)
12/380
30.
If you spin the spinner 90 times, how many times should the number 3 be selected?
a)
9
b)
15
c)
16
d)
30
31.

What is the probability of spinning a yellow, green, or blue?

a)

3/4

b)

1/12

c)

1/3

d)

1/16

32.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy, not replacing it then selecting a blue candy?
a)
1/40
b)
7/20
c)
6/19
d)
1/38
33.

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown

What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

34.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
35.
What is the probability of choosing the letter
i from the word probability?
a)
1/10
b)
2/11
c)
2/2
d)
1/10
36.
Is the spinner more likely or less likely to land
on green than yellow?
a)
more likely
b)
less likely
37.
Is it certain or impossible for the spinner to land on orange?
a)
imposssible
b)
certain
38.
If you were to roll the die one time what is the probability of it landing on a 2?
a)
2 out of 6
b)
2 out of 2
c)
1 out of 6
d)
1 out of 1
39.

What is the probability of flipping a coin 20 times and landing on heads 11 times?

a)

P = 1/10

b)

P = 11/20

c)

P = 9/20

d)

P = 10/20

40.

What is the complement of flipping a coin 20 times and landing on heads 11 times?

a)

P' = 1/10

b)

P' = 11/20

c)

P' = 9/20

d)

P' = 10/20

41.

What is the probability of it snowing 3 days out of the week?

a)

P = 4/7

b)

P = 2/7

c)

P = 5/7

d)

P = 3/7

42.

What is the complement of it snowing 3 days out of the week?

a)

P' = 4/7

b)

P' = 2/7

c)

P' = 5/7

d)

P' = 3/7

43.

What is the probability of choosing a red marble if there are 8 red marbles in a jar of 15?

a)

P = 3/15

b)

P = 7/15

c)

P = 8/15

d)

P = 15/8

44.

What is the complement of choosing a red marble if there are 8 red marbles in a jar of 15?

a)

P' = 3/15

b)

P' = 7/15

c)

P' = 8/15

d)

P' = 15/8

45.

How likely are you to roll a 1 on a regular die?

a)

P = 2/6

b)

P = 3/6

c)

P = 5/6

d)

P = 1/6

46.

How likely are you to NOT roll a 1 on a regular die? (Complement)

a)

P' = 2/6

b)

P' = 3/6

c)

P' = 5/6

d)

P' = 1/6

47.

How likely are you to roll an even number of a regular die?

a)

P = 2/6

b)

P = 1/2

c)

P = 1/3

d)

P = 2/3

48.

How likely are you to choose a yellow marble out of a jar, if there are 6 blue, 2 red, and 4 yellow?

a)

P = 4/10

b)

P = 1/3

c)

P = 2/12

d)

P = 6/12

49.

What is the probability of spinning a purple on the following spinner?

a)

1

b)

1/3

c)

1/2

d)

3/3

50.

What is the complement to  25\frac{2}{5}  ?

a)

1/5

b)

2/5

c)

3/5

d)

5/5

51.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of not choosing the letter “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

52.
How do you find compound probability?
a)
Multiply your probabilities
b)
Add your probabilities
c)
Divide your probabilities
d)
Subtract your probabilities
53.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
54.
Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 
a)
1/40
b)
1/8
c)
3/124
d)
5/16
55.
Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 
a)
1/50
b)
2/95
c)
1/10
d)
4/19
56.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
57.
A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies. If Megan chooses a cookie, does not replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie? 
a)
2/3
b)
1/10
c)
6/71
d)
11/72
58.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
59.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
60.
Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple. 
a)
3/5
b)
3/4
c)
3/20
d)
2/5
61.
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 
a)
9/16
b)
3/4
c)
9/144
d)
5/16
62.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
63.
You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?
a)
15/136
b)
30/289
c)
Other
64.
a)

F

b)

G

c)

H

d)

J

65.
a)

A

b)

B

c)

C

d)

D

66.
a)

A

b)

B

c)

C

d)

D

67.
a)

A

b)

B

c)

C

d)

D

68.
a)

F

b)

G

c)

H

d)

J

69.
a)

A

b)

B

c)

C

d)

D

70.
a)

A

b)

B

c)

C

d)

D

71.

A bag contains 20 pink candies, 8 red candies, and 12 green candies. Without looking, Sarah pulls out a piece of candy. Which color of candy is least likely to be pulled out?

a)

Pink

b)

Red

c)

Green

72.

Andrew has white and black socks in a drawer. The probability of him pulling out a black sock is 15\frac{1}{5} .   What is the likelihood of Andrew randomly pulling out a white sock.

a)

definite

b)

likely

c)

not likely

d)

impossible

73.

Monica and Simone are playing a game using a number cube. The number cube is numbered 1 through 6.


Monica needs to roll an odd number to win.


Simone needs to roll an even number to win.


What is the probability of Simone winning compared to Monica’s probability of winning?

a)

The chance of Simone winning is greater compared to Monica

b)

The chance of Simone winning is less than compared to Monica

c)

The chance of Simone winning is equal compared to Monica

74.

Hannah will roll a number cube, labeled 1 through 6, 300 times. About how many times could Hannah expect to roll a number less than or equal to 4?

a)

150

b)

50

c)

200

d)

100

75.

For the entire 7th grade class of 250 students. How many would you expect to like fried chicken best?

a)

23 Students

b)

35 Students

c)

25 Students

d)

50 Students

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