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Unit 12 Review

Total questions: 106

Worksheet time: 4hrs 5mins

Name
Class
Date
1.

Mrs. Trevino has 3 red pens, 5 pink pens, and 8 blue pens. What is the probability that she will choose a blue pen to grade papers?

a)

1/2

b)

8

c)

3/16

d)

16/8

2.

To play a game Benny must spin the spinner shown below. 

          What is the probability that the spinner will land on a number less than 7?

a)

7/8

b)

3/4

c)

8/7

d)

0

3.

A bag contains 15 yellow cubes, 6 blue cubes, and 4 red cubes. If you select a cube at random, what is the probability the cube will NOT be yellow?

a)

25/15

b)

2/5

c)

15

d)

5/3

4.

Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.

What is the probability Nerissa will choose a purple bow?

a)

1/2

b)

2/5

c)

1/10

d)

3/5

5.

What is the probability of rolling a 3 and spinning a red?

a)

1/6

b)

1/4

c)

1/10

d)

1/24

6.

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

a)

1/8

b)

1/15

c)

4/8

d)

1/10

7.

What is the probability of flipping the coin and getting heads up, then getting a T from the group of letters.

a)

1/2

b)

1/6

c)

2/6

d)

3/12

8.

What is the probability of drawing a blue color and a number 4?

a)

2/5

b)

1/6

c)

3/15

d)

1/15

9.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
10.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
11.
What is the probability that they speak French given that they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
12.
What is the probability that a student plays an instrument?
a)
.55
b)
.5
c)
.45
d)
.4
13.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
14.
A day in the year is randomly chosen. Given the day is in the month of December, what is the probability the day is the 25th? (December has 31 total days.)
a)
8.5%
b)
8.84%
c)
80.6%
d)
3.2%
15.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
16.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
17.
There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin.  What is the probability that the coin is a nickle both times?
a)
36/169
b)
6/13
c)
5/16
d)
3/19
18.
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.
a)
2/15
b)
3/17
c)
1/19
d)
6/21
19.
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?
a)
7/26
b)
1/2
c)
2/17
d)
8/29
20.
Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?
a)
spin a spinner with four sections 25 times
b)
roll a die 25 times
c)
flip a coin 25 times
d)
roll a die 4 times
21.
A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?
a)
spin a spinner with 4 equal sections
b)
roll a die twice
c)
flip a coin twice
d)
flip a coin, then roll a die
22.
Samuel has 5 different colors of pens and 2 different colors of paper. Which model could be used to show how many different choices he has?
a)
spin a spinner with 5 sections, then flip a coin
b)
roll a die 5 times
c)
flip a coin 5 times
d)
roll a die, then flip a coin 5 times
23.
What statement does the shaded region represent
a)
A or B
b)
Not A
c)
A and B
d)
Not B
24.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
25.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
26.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
27.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
28.
A bag contains 5 red marbles and 4 pink marbles. A marble is randomly drawn and then replaced. What is the probability the first marble is pink and the second is red?
a)
26.9%
b)
24.7%
c)
20.0%
d)
5%
29.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

30.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

31.

A coin is tossed and then a regular 6-sided die is rolled. What is the probability of the resulting outcome being

(tails, even)?

a)

1/2

b)

1/12

c)

1/6

d)

1/4

32.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

33.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
34.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

35.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

36.

What is the probability that you choose blue? *simplify your answer*

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

37.

What is the probability the spinner stops on yellow?

a)

.075

b)

50%

c)

25%

d)

3/8

38.

What is the probability of the spin stopping on yellow?

a)

1/4

b)

.25

c)

50%

d)

75%

39.

What is the probability of spinning an even number?

a)

0.25

b)

0.33

c)

50%

d)

75%

40.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

41.
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
42.

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

43.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
44.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
45.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
46.
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 is the complete set of possibilities of combinations?
a)
TW, CW, PW
b)
TW, TM, TW, CW, PW
c)
TW, TM, CW, CM, PW, PM
47.

If you select a marble without looking, how likely is it that you will pick a black one?

a)

certain

b)

probable

c)

unlikely

d)

impossible

48.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
49.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
50.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
51.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
52.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?  Do you add or multiply probabilities?
a)
Add
b)
Multiply
53.
If you roll one die, what is the probability of getting an odd number or a 4?  Are the events inclusive or mutually exclusive?
a)
Not Mutually Exclusive 
b)
Mutually exclusive
54.
Two events are mutually exclusive if:
a)
they cannot happen at the same time
b)
they can happen at the same time
c)
they always happen 
d)
they never happen 
55.
A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
a)
Independent
b)
Dependent
56.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
57.

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

58.

Identify if the events are independent or dependent, then calculate the probability. Leave as a fraction.

a)

1249\frac{12}{49}
​

b)

5691\frac{56}{91}
​

c)

4849\frac{48}{49}

d)

4912\frac{49}{12}
​

59.

Identify if the events are independent or dependent, then calculate the probability. Leave as a decimal.

a)

18\frac{1}{8}   

b)

  34\frac{3}{4}  

c)

17\frac{1}{7}  

d)

615\frac{6}{15}  

60.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a fraction.

a)

    512\frac{5}{12}  

b)

    112\frac{1}{12}  

c)

   12121\frac{12}{121}  

d)

   712\frac{7}{12}  

61.

Identify if the events are mutually exclusive or not mutually exclusive, then calculate the probability. Leave as a percentage.

a)

      910\frac{9}{10}  

b)

      710\frac{7}{10}  

c)

     29\frac{2}{9}  

d)

     12\frac{1}{2}  

62.

What is the probability that a randomly selected student prefers athletics given that the student prefers math? Leave as a fraction.

a)

       12\frac{1}{2}  

b)

       310\frac{3}{10}  

c)

      49\frac{4}{9}  

d)

      29\frac{2}{9}  

63.

What is the probability that a randomly selected student wants to be a therapist given that the student has a fear of snakes? Leave as a fraction.

a)

        611\frac{6}{11}  

b)

        13\frac{1}{3}  

c)

       311\frac{3}{11}  

d)

       310\frac{3}{10}  

64.

A standard die is rolled twice. Find each probability.


P (odd both times)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

65.

A standard die is rolled twice. Find each probability.


P (both perfect squares)

a)

1/2

b)

1/4

c)

2/3

d)

1/9

66.
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
67.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
68.
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
69.
A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? HINT: You can not have the same person twice in a duet 
a)
1/6
b)
7/17
c)
3/8
d)
13/25
70.

Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 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)

9/52

b)

4/91

c)

44/105

d)

11/26

71.
A bag has 3 red, 5 blue, and 2 yellow pieces of candy. What is the probability of  drawing a blue piece of candy?
a)
1/2
b)
1/10
c)
3/10
d)
1/3
72.
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
73.

Find the probability of each set of independent events.


drawing a black checker from a bag of 6 black checkers and 4 red checkers, replacing it, and drawing another black checker.

a)

2/3

b)

9/25

c)

2/5

d)

3/5

74.

In a deck of 52 playing cards, what is the probability of drawing a club and then a second club?

a)

13/52 x 13/52

b)

13/52 x 12/51

c)

13/52 x 12/52

d)

12/52 x 13/51

75.

In a deck of 52 playing cards, what is the probability of drawing either a heart or a club than a spade or a diamond if each card is returned to the deck before drawing the next one?

a)

26/52 x 25/52

b)

26/52 x 26/52

c)

26/52 x 26/51

d)

26/52 x 25/51

76.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
77.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
78.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
79.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
80.
What is the probability that a female is chose given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
81.

What is the probability that a student plays on a sports team given they play an instrument?

a)

.7273

b)

.8

c)

.55

d)

.2222

82.
The probability that a women likes the color blue is 10%. The probability of being a women is 40%. What is the probability that the a women is chose given they liked the color blue? 
a)
4
b)
.4
c)
.1
d)
.25
83.
A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa. 
a)
.0267
b)
37.5
c)
.02
d)
.3333
84.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
85.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
86.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


1) What is the probability a randomly selected student got an A or B for the semester?

a)

15/100

b)

20/100

c)

35/100

d)

65/100

87.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


2) What is the probability a randomly selected student is male?

a)

12/100

b)

17/100

c)

44/100

d)

56/100

88.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


3) What is the probability a randomly selected student earned a passing grade?

a)

20/100

b)

35/100

c)

65/100

d)

87/100

89.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


4) Given that the grade is an A, what is the probability of the student being female?

a)

8/20

b)

12/20

c)

8/44

d)

12/56

90.

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.


5) Given that the grade is a B, what is the probability of the student being male?

a)

6/15

b)

9/15

c)

6/56

d)

9/44

91.

The make-up of employees at a police station is shown in the table above:


6) What is the probability that a randomly selected employee is a chief?

a)

1/100

b)

2/100

c)

1/33

d)

1/67

92.

The make-up of employees at a police station is shown in the table above:


7) What is the probability that a randomly selected employee is male and a sergeant?

a)

8/13

b)

8/33

c)

8/67

d)

8/100

93.

The make-up of employees at a police station is shown in the table above:


8) Given the employee is a chief, what is the probability the employee is male?

a)

1/100

b)

1/33

c)

1/2

d)

1/67

94.

The make-up of employees at a police station is shown in the table above:


9) Given the employee is a female, what is the probability of the employee being a chief?

a)

1/2

b)

1/33

c)

1/67

d)

1/100

95.

The make-up of employees at a police station is shown in the table above:


10) Given the employee is an inspector, what is the probability the employee is male?

a)

2/6

b)

2/33

c)

2/67

d)

2/100

96.

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.


11) What is the probability a randomly selected student is male and has a provisional license?

a)

14/60

b)

26/60

c)

14/120

d)

26/120

97.

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.


12) What is the probability a randomly selected student is female and can drive?

a)

15/60

b)

48/60

c)

33/120

d)

48/120

98.

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.


13) What is the probability a randomly selected student has no license?

a)

20/60

b)

32/120

c)

20/32

d)

20/59

99.

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.


14) Given that a student is male, what is the probability the student can’t drive?

a)

12/60

b)

12/120

c)

20/60

d)

20/120

100.

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.


15) Given that a student has a permit, what is the probability the student is female?

a)

15/29

b)

33/59

c)

15/60

d)

15/120

101.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.


16) What is the probability a randomly selected student plays soccer?

a)

42/75

b)

12/35

c)

54/110

d)

56/110

102.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.


17) What is the probability a randomly selected student is male and does not play soccer?

a)

42/110

b)

33/110

c)

12/110

d)

23/110

103.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.


18) Given a student plays soccer, what is the probability the student is female?

a)

12/54

b)

42/54

c)

12/35

d)

42/75

104.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.


19) Given a student is female, what is the probability the student plays soccer?

a)

12/54

b)

42/54

c)

12/35

d)

42/75

105.

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.


20) Given a student doesn’t play soccer, what is the probability the student is male?

a)

33/56

b)

23/56

c)

33/75

d)

23/35

106.
Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.
a)
combination
b)
permutation
c)
neither

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