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Probability

Total questions: 78

Worksheet time: 4hrs 1mins

Name
Class
Date
1.
Probability is ...
a)
the chance that some event will occur.
b)
a game that involves coins.
c)
a guarantee.
2.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
3.
What is an outcome?
a)
The result of an experiment
b)
The chance or likelihood of an event
c)
A fraction, decimal, or a percent
d)
An activity that gives various results
4.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
5.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
6.
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
7.
The chart below represents the number of marbles in a jar.
P(green) = 
a)
5/19
b)
10/28
c)
5/14
8.
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
9.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
10.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
11.
A likely chance event is closer to what number?
a)
0
b)
1
c)
.5
d)
100
12.
An unlikely chance event is closer to what number?
a)
0
b)
1
c)
2
d)
3
13.
What is the probability of flipping a coin and getting heads?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
14.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
15.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
16.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

17.

Action: Choose one sport.

Event: Pick a sport with no ball.

Sample space: football, swimming, baseball, gymnastics

Which outcomes are part of the event?

a)

football

b)

swimming

c)

baseball

d)

gymnastics

18.

Event: pick a friend who likes horror films.

Which is an outcome for the given event?

a)

Kitu

b)

Li

c)

Shen

d)

Kimberly

e)

Enrique

19.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

20.
What is the probability of spinning the spinner and having it land on RED?
a)
33%
b)
50%
c)
12%
21.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
22.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

23.
Is the spinner more likely or less likely to land on green than yellow?
a)
more likely
b)
less likely
24.
What is the probability of drawing a red card from a standard deck of cards?
a)
1/52
b)
13/52
c)
1/2
d)
4/52
25.
The probability of Asher's soccer team winning its next game is 7/10.  What is the probability of not winning their next game?
a)
unlikely
b)
3/10
c)
1/2
d)
impossible
26.
What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
27.
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
28.
What is the probability of selecting a cherry piece of candy?
a)
3 out of 10
b)
3 out of 3
c)
3 out of 9
d)
4 out of 10
29.
What is the probability of the spinner landing on red?
a)
5/12
b)
1/5
c)
5/5
d)
3/5
30.
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
31.
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
32.
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
33.
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
34.
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
35.
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
36.
 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
37.
 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
38.

What is the theoretical probability of the spinner landing on yellow?

a)

1/4

b)

1/2

c)

1/3

d)

2/3

39.
a)

3/20

b)

1/3

c)

3/5

d)

2/5

40.

Choose the statement that is true about the experimental and theoretical probability of rolling a number cube 20 times.

a)

The experimental probability of rolling 3 is 16.6% and the theoretical probability is 15%

b)

The experimental probability of rolling 3 is 15% and the theoretical probability is 16.6%

c)

The experimental probability of rolling 1 is greater than the theoretical probability

d)

The experimental probability of rolling 6 is 16.6% and the theoretical probability of rolling 6 is 25%

41.

The spinner was spun 30 times and landed on blue 12 times. What was the experimental probability of the spinner landing on colors that were not blue?

a)

2/5

b)

3/5

c)

4/5

d)

1/5

42.
a)

75

b)

45

c)

15

d)

40

43.

If the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

a)

The experimental probability of landing on 11 is 1/8 while the theoretical probability of landing on 11 is 3/10

b)

The theoretical probability of landing on 11 is 12.5% while the experimental probability of landing on 11 is 30%

c)

The experimental probability of landing on 11 is less than the theoretical probability of landing on 11

d)

The theoretical probability of landing on 11 is equal to the experimental probability of landing on 11

44.
a)

2/5

b)

2/3

c)

4/15

d)

4/11

45.
a)

1/2

b)

1/8

c)

1/4

d)

1/3

46.
a)

The more times the coin is tossed, the closer the experimental probability will get to the theoretical probability

b)

The theoretical probability is less than the experimental probability of landing on tails.

c)

The theoretical probability of landing on tails is 1/2 and the experimental probability of landing on tails is 19/40

d)

The theoretical probability is the same as the experimental probability of landing on tails.

47.

What is the theoretical probability of randomly picking a Purple marble from Molly's Sack of Marbles?

a)

4/5

b)

3/15

c)

2/15

d)

8/21

48.

Janice reached into Molly's sack of Marbles 10 times and picked a green Marble 3 times. Choose each statement that is true.

a)

The experimental probability of Janice picking a green marble was greater than the theoretical probability of Janice picking a green marble

b)

The theoretical probability of picking a blue marble was greater than the theoretical probability of picking a green marble

c)

The experimental probability of Janice picking a green marble was greater than the theoretical probability of picking a purple marble

d)

The more Janice picked a green marble from the bag, the closer the experimental probability will get to the theoretical probability.

49.

A cell phone company expects that every 2 out of 25 cell phones will have some form of defect. At this rate, how many cell phones out of 500 will be expected to have a defect?

a)

35

b)

40

c)

4

d)

12

50.

Every 3 out of 12 vehicles on a highway is a truck. How many trucks are expected to be on a highway with 3,600 vehicles?

a)

300

b)

600

c)

900

d)

1,200

51.
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
52.
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
53.
Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.
a)
Independent
b)
Dependent
54.

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

a)

Independent

b)

Dependent

55.
Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?
a)
Independent
b)
Dependent
56.

Which event is not a dependent event?

a)

Picking 2 students to be the line leader and the door holder from a group of 20 students

b)

Picking 2 marbles from a bag without replacing the first marble

c)

Picking 2 crayons from a box without putting any back

d)

Picking an earring, replacing it, then picking a 2nd earring

57.
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
58.
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
59.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/25

d)

1/45

60.

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

a)

122\frac{1}{22}

b)

611\frac{6}{11}

c)

916\frac{9}{16}

d)

2122\frac{21}{22}

61.

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

a)

118\frac{1}{18}

b)

1081\frac{10}{81}

c)

536\frac{5}{36}

d)

79\frac{7}{9}

62.

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

a)

320\frac{3}{20}

b)

16\frac{1}{6}

c)

1556\frac{15}{56}

d)

815\frac{8}{15}

63.

An experiment consists of spinning a spinner and flipping a fair coin. The spinner consists of 4 colored sections of equal size.

• Red

• Blue

• Green

• Yellow

If the arrow on the spinner is spun one time and the coin flipped one time, what is the probability of getting the outcome “Blue, Tails”?

a)

18\frac{1}{8}

b)

16\frac{1}{6}

c)

14\frac{1}{4}

d)

34\frac{3}{4}

64.

A store has 20 boxes of cereal A and 10 boxes of cereal B. One box of each kind of cereal has a prize. If one box of each kind is randomly selected, what is the probability that neither box has a prize?

a)

1200\frac{1}{200}

b)

29200\frac{29}{200}

c)

171200\frac{171}{200}

d)

199200\frac{199}{200}

65.

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. Joshua will select a marble at random, record its color, and then put the marble back in the bag. He will select three marbles in this way. What is the probability that Joshua will first get a red marble, then a blue marble, and then a green marble?

a)

160\frac{1}{60}

b)

5144\frac{5}{144}

c)

512\frac{5}{12}

d)

4760\frac{47}{60}

66.

Natasha wants to unlock the supply cabinet in her office. She has 10 cabinet keys and knows that only one of these keys will unlock the supply cabinet. If she randomly selects a key without replacement, which expression represents the probability that the third key selected will unlock the supply cabinet?

a)

(910)×(89)×(18)\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{8}\right)

b)

(910)×(89)×(78)\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{8}\right)

c)

(910)×(89)×(110)\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{10}\right)

d)

(910)×(89)×(710)\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{10}\right)

67.

John has seven keys on a ring. He gives these keys to his friend Robin and asks her to unlock a door. If two of the seven keys can unlock the door, what is the probability that Robin unlocks the door on exactly her third attempt?

a)

40210\frac{40}{210}

b)

50210\frac{50}{210}

c)

40343\frac{40}{343}

d)

50343\frac{50}{343}

68.

A stack of magazines has 5 news magazines and 10 sports magazines. Two magazines are drawn at random without replacement. What is the probability of selecting a news magazine first and then a sports magazine?

a)

15\frac{1}{5}

b)

314\frac{3}{14}

c)

29\frac{2}{9}

d)

521\frac{5}{21}

69.

Carlos has a spinner that is divided into 3 equal-sized sectors numbered from 1 to 3, and a number cube labeled from 1 to 6. He will spin the arrow of the spinner and roll the number cube one time. What is the probability that the arrow will land on a sector labeled 3, and the number cube will land on a number less than 3?

a)

19\frac{1}{9}

b)

29\frac{2}{9}

c)

23\frac{2}{3}

d)

56\frac{5}{6}

70.

Two spinners are each divided into equal sections, as shown above. Each spinner is spun once. What is the probability that the spinners will land on 2 numbers with a sum of 3.5?

a)

124\frac{1}{24}

b)

110\frac{1}{10}

c)

512\frac{5}{12}

d)

12\frac{1}{2}

71.

A box of stickers contains 25 gold stars, 75 red stars, and 50 blue stars, all of the same size. In two random selections, what is the probability of selecting a blue star, replacing it, and then selecting a blue star again?

a)

19\frac{1}{9}

b)

16\frac{1}{6}

c)

14\frac{1}{4}

d)

23\frac{2}{3}

72.

A computer program randomly generates two different whole numbers from 1 to 50. If the program is run once, what is the probability that the sum of the two numbers generated is exactly 3?

a)

12450\frac{1}{2450}

b)

11225\frac{1}{1225}

c)

197\frac{1}{97}

d)

3100\frac{3}{100}

73.

Brad has a bag containing 8 green cubes, 6 red cubes, and 14 yellow cubes. All of the cubes are the same size. What is the probability of randomly selecting 1 yellow cube and then 1 green cube from the bag, without replacing the first cube?

a)

1112\frac{1}{112}

b)

427\frac{4}{27}

c)

1354\frac{13}{54}

d)

25\frac{2}{5}

74.

In her book bag, Jackie has one red pencil, one yellow pencil, one blue pencil, one green pencil, one orange pencil, and one purple pencil. She also has one red pen, one blue pen, and one black pen. If Jackie randomly selects one pencil and one pen, what is the probability that she will select a purple pencil and a black pen?

a)

172\frac{1}{72}

b)

118\frac{1}{18}

c)

110\frac{1}{10}

d)

12\frac{1}{2}

75.

The spinner below is divided into 4 equal parts. It is spun once, and the coin is flipped once. What is the probability of obtaining red on the spinner followed by heads on the coin?

a)

18\frac{1}{8}

b)

14\frac{1}{4}

c)

34\frac{3}{4}

d)

78\frac{7}{8}

76.

Brent has a shopping bag with 8 similar size containers of yogurt: 2 strawberry, 3 cherry, and 3 raspberry. If he randomly takes 2 yogurt containers from the bag without replacement, what is the probability that neither will be strawberry yogurt?

a)

128\frac{1}{28}

b)

1328\frac{13}{28}

c)

1528\frac{15}{28}

d)

2728\frac{27}{28}

77.

Nick randomly selects a digit from the set {0, 1, 2, ..., 9} and a letter from the set {A, B, C, ..., Z}. Matthew will try to guess both the digit and the letter. Which expression gives the probability that Matthew will incorrectly guess both the digit and the letter?

a)

110+126\frac{1}{10}+\frac{1}{26}

b)

110×126\frac{1}{10}\times\frac{1}{26}

c)

910+2526\frac{9}{10}+\frac{25}{26}

d)

910×2526\frac{9}{10}\times\frac{25}{26}

78.

The numbers 7 through 14 are written on eight cards and placed in a box. Two cards are drawn without replacement. What is the probability the 10 is drawn first, followed by the 8?

a)

14\frac{1}{4}

b)

27\frac{2}{7}

c)

142\frac{1}{42}

d)

156\frac{1}{56}

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