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Algebra 2 - 10.1-10.2,10.4 Quiz Review

Total questions: 62

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

Danica flips a quarter three times. Which of the given tree diagrams represents the correct sample space for the three coin flips?

a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
2.
How many total outfit options are represented?
a)
12
b)
22
c)
3
d)

6

3.

What is the total number or outcomes in the sample space when rolling two dice?

a)

6

b)

12

c)

1296

d)

36

4.

Dennia's older sister needs to take either Physics, Algebra, or Chemistry this year. She can take the class during any one of six periods (1 through 6). What are the total number of possible schedules?

a)

18

b)

3

c)

9

d)

81

5.
If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?
a)
58
b)
96
c)
20
d)
192
6.
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
7.
What is the probability of spinning a number less than 5? 
a)
16 2/3%
b)
33 1/3 %
c)
66 2/3%
d)
83 1/3%
8.

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

a)

3/4

b)

1/12

c)

1/3

d)

1/16

9.
Theoretically, what is the probability of rolling a sum of 10 with a pair of dice?
a)
1/4
b)
3/12
c)
1/12
d)
3/36
10.

What is the probability of spinning green?

a)

0

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

34\frac{3}{4}

11.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

12.5%

b)

32%

c)

8%

d)

80%

12.

The letters that form the word ALGEBRA are placed in a bowl.

What is the probability of choosing a letter that is NOT “A”?

a)

27\frac{2}{7}  

b)

549\frac{5}{49}  

c)

57\frac{5}{7}  

d)

1049\frac{10}{49}  

13.

Find the probability of NOT rolling a 2 on a single die.

a)

1/6

b)

2/6

c)

5/6

d)

2

14.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
75%
b)
45%
c)
50%
d)
80%
15.

If you pick a point at random inside the large square, find the probability it is in the small square.

a)

0

b)

1/4

c)

1/3

d)

1/2

16.

A dart is tossed and hits the square dart board shown. The dart is equally likely to land on any point on the dart board. Find the probability that the dart lands in the yellow ring outside of the red bullseye.

a)

14.7%

b)

19.6%

c)

2.5%

d)

4.9%

17.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
52.3%
b)
51.4%
c)
47.6%
d)
45.7%
18.
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points.
a)
2/3
b)

5/16

c)
3/4
d)
1/4
19.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
15.3%
b)
24.5%
c)
26.9%
d)
21.5%
20.
Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?
a)
1/3
b)
1/2
c)
1/6
d)
1/4
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 yellow candy, not replacing it, then selecting a green candy?
a)
1/5
b)
3/19
c)
3/95
d)
12/380
22.
A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?
a)
1/6
b)
1/3
c)
1/2
d)
1/4
23.
A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?
a)
1/9
b)
1/27
c)
1/6
d)
2/9
24.
There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.
a)
1/2
b)
1/36
c)
1/6
d)
1/66
25.
Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?
a)
1/13
b)
4/663
c)
1/676
d)
1/169
26.

What is the probability of drawing the angel emoji card, replacing it, and drawing the laughing emoji card?

a)

1/16

b)

1/64

c)

9/16

d)

1/32

27.
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
28.
Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/105
c)
3/71
29.
Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts.  She puts the candy in the bowl.  If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?
a)
1/35
b)
7/210
c)
6/225
d)
2/75
30.
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
31.

What is the probability of spinning a number greater than 7 or odd number?

a)

3/10

b)

5/10

c)

7/10

d)

9/10

32.

A spinner has 8 equal sections numbered 1 to 8. What is the probability of the spinner stopping on a number that is a multiple of 3 or a number that is is greater than 5?

a)

1/7

b)

1/12

c)

5/8

d)

1/2

33.
Which of the following shows how to determine P(diamond or face card)?
a)
13/52 + 12/52 - 3/52
b)
3/52 + 13/52 -12/52
c)
3/52 + 12/52 - 13/52
d)
1/13 + 3/52 - 1/4
34.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card?
a)
13/52
b)
26/52
c)
39/52
d)
Not possible
35.
Which of the following shows how to determine P(king or a red card)?
a)
4/52 + 2/52 - 26/52
b)
1/13 + 1/26 - 1/2
c)
4/52 + 26/52 - 2/52
d)
2/52 + 4/52 - 26/52
36.
Which of the following shows how to determine P(club or not a face card)?
a)
40/52 + 10/52 - 13/52
b)
13/52 + 40/52 - 10/52
c)
1/4 + 10/52 - 9/52
d)
13/52 + 10/52 - 36/52
37.
Which of the following shows how to determine when a die is rolled P(even number or prime number)?
a)
3/6 + 4/6 - 1/6
b)
3/6 + 3/6 - 1/6
c)
4/6 + 2/6 - 1/6
d)
1/6 + 4/6 - 3/6
38.
A survey found that 19% of the population owned dogs, 14% owned cats, and 6% of the population owned both a cat and a dog? Find the probability that a person owns a cat or a dog.
a)
0.19 + 0.14 + 0.06
b)
19/100 + 14/100 - 6/100
c)
0.06 + 0.14 - 0.19
d)
19/100 + 6/100 -14/100
39.
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
40.

You perform an experiment to determine how well plants react to light. Out of 30 plants in the experiment, 12 receive visible light, 15 get ultraviolet light, & 6 receive both types of light. What's the probability that a plant receives visible or ultraviolet light?

a)

0.9

b)

0.7

c)

0.2

d)

0.3

41.

P(A)=favorable outcomestotal outcomesP\left(A\right)=\frac{favorable\ outcomes}{total\ outcomes}   

a)

Disjoint (mutually exclusive) Probability

b)

Independent Probability

c)

General Probability

d)

Overlapping Probability

e)

Dependent Probability (Conditional)

42.

P(A or B)=P(A) + P(B)P\left(A\ or\ B\right)=P\left(A\right)\ +\ P\left(B\right)  

a)

General Probability

b)

Disjoint (mutually exclusive) Probability

c)

Overlapping Probability

d)

Independent Probability

e)

Dependent Probability

43.

P(A or B) = P(A) + P(B) − P(A and B)P\left(A\ or\ B\right)\ =\ P\left(A\right)\ +\ P\left(B\right)\ -\ P\left(A\ and\ B\right)  

a)

General Probability

b)

Independent Probability

c)

Dependent Probability

d)

Disjoint (mutually exclusive) Probability

e)

Overlapping Probability

44.

P(A and B) = P(A)⋅P(B)P\left(A\ and\ B\right)\ =\ P\left(A\right)\cdot P\left(B\right)  

a)

Dependent Probability

b)

Overlapping Probability

c)

General Probability

d)

Independent Probability

e)

Disjoint (mutually exclusive) Probability

45.

P(A and B) = P(A)⋅P(BlA)P\left(A\ and\ B\right)\ =\ P\left(A\right)\cdot P\left(BlA\right)  

a)

Disjoint (mutually exclusive) Probability

b)

Dependent (Conditional) Probability

c)

Overlapping Probability

d)

Independent Probability

e)

General Probability

46.

There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.

What is the probability of him not choosing a yellow rose?

a)

1520\frac{15}{20}

b)

520\frac{5}{20}

c)

1720\frac{17}{20}

d)

320\frac{3}{20}

47.

You & your friend are among several candidates for class president. You estimate that there is a 45% chance that you will win & 25% chance your friend will win. What's the probability that either you or your friend win the election?

a)

75%

b)

70%

c)

55%

d)

20%

48.
At  a New Car Dealership a particular model 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
49.

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 an AA, given they hold a Visa.

a)

.0267

b)

37.5

c)

.02

d)

.3333

50.
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
51.

Draw one card from a standard deck. Find P(ace)

a)

1/13

b)

1/4

c)

4/13

d)

1/52

52.
Probability can be expressed as a number between_____ and _____.
a)
0 and 100
b)
0 and 10
c)
0 and 1
d)
-1 and 1
53.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
54.

What is the probability of rolling a sum of 15 with a pair of six-sided dice?

a)

0

b)

1 / 36

c)

15 / 36

d)

5 / 36

55.

What is the probability of pulling a red marble and giving it to your friends and then pulling a red marble for you as well out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?

a)

21/200

b)

21/190

c)

49/300

d)

49/400

56.

A point is randomly chosen on  . Find the probability that a point chosen at random will NOT be in the triangle.
(Round to the nearest hundredth)

a)

0.84

b)

0.16

c)

0.30

d)

0.15

57.

In a room with 28 people, 5 women are wearing red and 7 women wearing blue, 6 men are wearing red and 10 men wearing blue. What is the probability of randomly picking one person who is either wearing red or is a male?

a)

34\frac{3}{4}

b)

1628\frac{16}{28}

c)

314\frac{3}{14}

d)

611\frac{6}{11}

58.
At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages.  A student is chosen at random from the college.  What is the probability that the student speaks Spanish if she speaks French?
a)
0.220
b)
0.211
c)
0.040
d)
0.571
59.

I have a bowl of M&Ms with 20 yellow, 17 red, 14 green, 10 blue, 9 brown, and 20 brown.  I randomly select an M&M, change my mind and put it back before selecting another M&M. What is the probability they are both blue?

a)
1/10
b)
2/90
c)
1/81
d)
1/89
60.

Jon made 15 out of 35 free throws.

What is his experimental probability that he will make the free throw?

a)

3/7

b)

15/35

c)

1/2

d)

5/7

61.

Jon made 15 out of 35 free throws.

What is the theoretical probability that he will make the free throw?

a)

3/7

b)

15/35

c)

1/2

d)

5/7

62.
If you roll one die, what is the probability of getting an odd number or a 4?
a)
2/3
b)
1/3
c)
1/2
d)
1/6

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