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Quiz #12 Review

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

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 probability of choosing a penny, then a dime.

a)

18/40

b)

144/1600

c)

144/1560

d)

26/40

2.

A bag has 6 black checkers and 4 red checkers. Find the probability of drawing a black checker, replacing it, and drawing another black checker.

a)

2/3

b)

9/25

c)

2/5

d)

3/5

3.

Find the probability of...


rolling a six on the first roll of a number cube and rolling an odd number on the second roll of the same number cube.

a)

1/12

b)

1/6

c)

1/8

d)

1/2

4.

Find the probability of...


flipping tails on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

a)

1/2

b)

1/7

c)

1/5

d)

1/10

5.
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
6.

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

7.
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
8.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

9.

What is the sample space when you roll a die and then flip a coin?

a)

1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T

b)

2

c)

1,2,3,4,5,6,H,T

10.

You pick a marble from this bag.

What is the probability you will choose either a solid black or solid white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

11.
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
12.

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.


P(both red)

a)

5/144

b)

5/138

c)

25/140

d)

25/144

13.
The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?
a)
rolling a six-sided number cube 6 times
b)
rolling a six-sided number cube 20 times
c)
spinning a spinner with 4 equal sized sections 4 times
d)
choosing 1 marble in a bag of 20 different colored marbles
14.
The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?
a)
rolling a six-sided number cube 6 times
b)
rolling a six-sided number cube 20 times
c)
spinning a spinner with 4 equal sized sections 4 times
d)
choosing 1 marble in a bag of 20 different colored marbles
15.
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
16.
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
17.
Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?
a)
roll a die and flip a coin
b)
roll a die two times
c)
flip a coin 6 times
d)
flip a coin 2 times
18.
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
19.
An ice cream parlor offers 15 different flavors of ice cream. Which model could be used to show how many different choices there are?
a)
spin a spinner with 5 sections
b)
flip a coin
c)
spin a spinner with 15 sections
d)
roll a die and flip a coin
20.
 A teacher wants to randomly choose 4 students to answer a series of questions. If there are 20 students in the classroom, describe a model that the teacher could use to simulate choosing these 4 students. 
a)
rolling a number cube 20 times
b)
spinning a spinner with 20 sections 4 times
c)
flipping a coin 20 times
d)
rolling a number cube and flipping a coin 20 times
21.
 A game requires drawing tiles with letters A through E for each of 8 slots to determine the winning code. Describe a model that could be used to simulate the selection of the number
a)
a number cube and a coin are flipped 8 times
b)
a spinner has 8 different sections and is spun 5 times
c)
a number cube is rolled 5 times
d)
a spinner has 5 different sections and is spun 8 times
22.
A cereal company is placing one of 6 different tickets into its boxes of cereal. If each ticket is equally likely to appear in a box of cereal, which model could be used to simulate the tickets you would find in 50 boxes of cereal?
a)
a coin that is flipped 50 times
b)
a spinner that has 4 sections that is spun 50 times
c)
a number cube that is rolled 50 times
d)
a coin is flipped and a number cube is rolled 50 times 
23.
Which is the best way to simulate choosing one student out of 12 to be the class president?
a)
roll a die and flip a coin
b)
roll a die
c)
spin a spinner with 4 sections
d)
flip a coin
24.
What is the probability of flipping a coin and getting tails?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
25.

What is the probability of spinning an even number?

a)

16 23%16\ \frac{2}{3}\%

b)

33 13%33\ \frac{1}{3}\%

c)

50%50\%

d)

75%75\%

26.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
27.
Find the probability of not rolling a 2 on a single die.
a)
1/6
b)
2/6
c)
5/6
d)
2
28.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
29.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
30.
What is the probability of spinning red?
a)
0
b)
1/2
c)
3/4
d)
1
31.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
32.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
33.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
34.

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)

8/25

b)

4/13

c)

10/26

d)

1/3

35.
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
36.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
37.
a)

2/9, 22%

b)

5/9, 56%

c)

1/9, 11%

d)

7/9, 78%

38.
Which color marble is least likely to be pulled from the jar?
a)
Green 
b)
Red
c)
Blue
d)
Yellow
39.

You completed an experiment where you rolled a dice 12 times and recorded your data in the table above. What is the experimental probability of rolling a 4?

a)

2/6

b)

1/6

c)

1/12

d)

5/12

40.

You completed an experiment where you rolled a dice 12 times and recorded your data in the table above. What is the experimental probability of rolling a 5?

a)

1/3

b)

2/3

c)

1/12

d)

2/12

41.

You completed an experiment where you rolled a dice 12 times and recorded your data in the table above. What is the experimental probability of rolling an odd number?

a)

5/12

b)

1/12

c)

7/12

d)

11/12

42.

You complete a trial where you draw 100 cards. Of the 100, 42 are black and 58 are red. What is the experimental probability of the next card being black?

a)

42%

b)

58%

c)

40%

d)

50%

43.

What is the difference between experimental and theoretical probability?

a)

Experimental is based on trials, Theoretical is based on theory

b)

Experimental is based on theory, Theoretical is based on trials

c)

There is no difference, they are the same

44.

You complete a trial where you draw 100 cards. Of the 100, 42 are black and 58 are red. What is the experimental probability of the next card being red?

a)

42%

b)

40%

c)

50%

d)

58%

45.

Kate spun the spinner 75 times and landed on "3" thirty times.

What is the experimental probability as a percentage?

a)

20%

b)

30%

c)

40%

d)

50%

46.
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
47.
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
48.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

49.

Which tree diagram has the most possible outcomes?

a)
b)
c)
50.

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)