Free Printable Probability Unit Review

1.

What term describes a game that has outcomes that are equally likely?

a)

Relative Frequency

b)

Fair Game

c)

Sample Space

d)

Favorable Outcomes

2.

What term can be described as a number between 0 and 1?

a)

Area Model

b)

Simulation

c)

Probability

d)

Relative Frequency

3.

What is a diagram in which fractions of the area of the diagram correspond to probabilities in a situation?

a)

Area Model

b)

Tree Diagram

4.

What is the probability of getting one of two possible outcomes over many trials?

a)

Theoretical Probability

b)

Binomial Probability

c)

Simple Event

d)

Compound Event

5.

What term is described as the “long term average”?

a)

Mean

b)

Relative Frequency

c)

Expected Value

d)

Range

6.

What is the probability of rolling a 3 on a number cube?

a)

1/2

b)

3/4

c)

1/6

d)

3

7.

What is the probability of choosing a blue marble from a bag with 3 blue marbles, 5 green marbles, and 10 red marbles?

a)

P(blue marble) = 3/5

b)

P(blue marble) = 5/9

c)

P(blue marble) = 1/6

d)

P(blue marble) = 5/18

8.

What is the probability of choosing a green marble from a bag with 3 blue marbles, 5 green marbles, and 10 red marbles?

a)

P(green) = 5/18

b)

P(green) = 5

c)

P(green) = 3/10

d)

P(green) = 0

9.

A bag contains pink, purple and red marbles. The probability of pulling a pink marble is 1/3. The probability of pulling a purple marble is 1/5. What is the probability of pulling a red marble?

a)

P(red marble)= 3/4

b)

P(red marble)= 1/15

c)

P(red marble)= 7/15

d)

P(red marble)= 8/15

10.

A student brought a very large jar of animal crackers to share with students in class. The student randomly chose 20 crackers from the jar, and recorded the results in the table below. How many zebras would you expect there to be in the jar, if there are 500 animal crackers in the jar?

a)

15 zebra crackers

b)

30 zebra crackers

c)

45 zebra crackers

d)

75 zebra crackers

11.

What is the probability of NOT getting a gray part?

a)

P (of getting an white part or a striped part) = 5/8

b)

P (of getting an white part or a striped part) = 1/8

c)

P (of getting an white part or a striped part) = 2/5

d)

P (of getting an white part or a striped part) = 1/6

12.

The faces of one six-sided number cube are labeled 1, 1, 1, 2, 2, 3. The faces of a second six-sided number cube are labeled 0, 0, 0, 0, 2, 2. The two cubes are rolled and the results are added. What is the probability of rolling a sum of 1?

a)

P(sum of 1) = 1/3

b)

P(sum of 1) = 1/5

c)

P(sum of 1) = 1/4

d)

P(sum of 1) = 1/2

13.

Two number cubes are rolled and the numbers are added. If you roll the number cubes 72 times, how many times would you expect to get a sum of 7?

a)

about 10 times

b)

11 times

c)

12 times

d)

13 times

14.

Ann bikes to school every morning. She passes two traffic lights. The chance that she has to stop for the first one is 40%. The chance that she has to stop for the second one is 70%. What is the probability that Ann has to stop for both lights?

a)

.16 = 16%

b)

.20 = 20%

c)

.28 = 28%

d)

.49 = 49%

15.

To play the Nickel game, a player tosses two nickels in the air at the same time. If both nickels land tails up, the player wins $1. If both nickels land heads up, the player wins $2. Otherwise, the player wins nothing. If it costs $1 to play the game, how much can a player expect to win or lose if he or she plays 12 times? Explain.

a)

He or she can expect to win $3.

b)

He or she can expect to win $6.

c)

He or she can expect to lose $6.

d)

He or she can expect to lose $3.

16.

What is the probability of getting into Cave A?

a)

1/7

b)

7/10

c)

7/12

d)

5/12

17.

There is 1 yellow, 2 blue, and 3 green marbles in a bag. There are 3 red and 2 purple marbles in a second bag. You chose a marble from each bag. What is the probability of choosing a blue and red marble?

a)

5/6

b)

1/5

c)

1/6

d)

4/5

18.

There is 1 red, 1 green and 1 blue marble in a bag. In another bag, there is 1 yellow, 2 blue, and 3 green marbles. What is the probability of choosing a blue and a green marble in either order?

a)

5/18

b)

1/3

c)

1/9

d)

13/18

19.

You spin each of the spinners below once, and then multiply the results. What is the probability of spinning a positive product?

a)

4/9

b)

1/9

c)

1/3

d)

5/9

20.

Lisa is about to serve the ball in a game of tennis and she is allowed two attempts. If her first serve lands in bounds, she doesn’t need to serve a second time. She has a 40% chance of successfully serving the first ball, and a 50% chance of successfully serving the second ball. What is the probability that a serve will land in bounds (either on her first or second attempt)?

a)

20%

b)

30%

c)

50%

d)

70%

21.

What is the probability that a 70% free throw shooter will make both shots in a one-and-one free throw situation?

a)

21%

b)

30%

c)

49%

d)

70%

22.

What is the probability that a 35% free throw shooter will not make either shot in a one-and-one free throw situation?

a)

23%

b)

35%

c)

42%

d)

65%

23.

What is the probability that a player will score one point in a two-attempt free throw situation if they are a 40% free throw shooter?

a)

16%

b)

24%

c)

40%

d)

48%

24.

If a 10% free throw shooter goes to the line 100 times in a one-and-one free throw situation, what is the expected value?

a)

.09 points per situation

b)

.10 points per situation

c)

.11 points per situation

d)

.12 points per situation

25.

What is the expected value for a 60% free throw shooter in a two-attempt free throw situation?

a)

1.2 points per situation

b)

.96 points per situation

c)

1 point per situation

d)

1.4 points per situation

26.

Various studies have shown that only a small portion of the world’s population is naturally left-handed. On average, the chance of two right-handed parents having a left-handed child is 10%. If Joan and her husband are both right handed, what is the probability that at least one of their two children will also be right handed? Draw a tree diagram to find your answer.

a)

1%

b)

9%

c)

18%

d)

99%

27.

A bag contains four orange blocks, five yellow blocks, two red blocks, and one green block. How many red blocks would you need to add to this bag of blocks to make the probability of drawing a red block 50% ?

a)

8 red blocks

b)

10 red blocks

c)

4 red blocks

d)

20 red blocks

28.

A vending machine contains stuffed animals, basketballs, and candy bars. The probability of getting a basketball is 3/8. The probability of getting a stuffed animal is 1/4. What is the probability of getting a candy bar?

a)

3/8

b)

5/8

c)

6/8

d)

2/8

29.

A vending machine contains stuffed animals, basketballs, and candy bars. The probability of getting a basketball is 3/8. The probability of getting a stuffed animal is 1/4. If there are 72 items in the vending machine, how many are stuffed animals?

a)

18 stuffed animals

b)

27 stuffed animals

c)

2 stuffed animals

d)

8 stuffed animals

30.

A vending machine contains stuffed animals, basketballs, and candy bars. The probability of getting a basketball is 3/8. The probability of getting a stuffed animal is 1/4. If there are 72 items in the vending machine, how many are basketballs?

a)

18 basketballs

b)

27 basketballs

c)

2 basketballs

d)

8 basketballs

31.

A vending machine contains stuffed animals, basketballs, and candy bars. The probability of getting a basketball is 3/8. The probability of getting a stuffed animal is 1/4. If there are 72 items in the vending machine, how many are candy bars?

a)

18 candy bars

b)

27 candy bars

c)

2 candy bars

d)

8 candy bars

32.

How many different meals can be designed if customers can choose one entree and one drink?

a)

20 meals

b)

5 meals

c)

10 meals

d)

25 meals

33.

If meals are made randomly, what is the theoretical probability that a meal will include spaghetti?

a)

1/5

b)

1/10

c)

2/25

d)

5/10

34.

If meals are made randomly, what is the theoretical probability of a meal having an egg sandwich and water?

a)

1

b)

1/10

c)

1/25

d)

5/25

35.

To pay you for babysitting, your neighbor puts money in a bag. The bag has one $20 bill and three $1 bills. You get to draw out two bills. What is the theoretical probability of getting $21?

a)

12

b)

6

c)

1/2

d)

2/3

36.

A bag of marbles contains blue, yellow and white marbles. The probability of getting a blue marble is 1/3 and the probability of getting a yellow marble is 1/2. What is the probability of getting a white marble?

a)

1/3

b)

1/4

c)

1/5

d)

1/6

37.

A bag of marbles contains blue, yellow and white marbles. The probability of getting a blue marble is 1/3 and the probability of getting a yellow marble is 1/2. The probability of getting a white marble is 1/6. If there are 60 marbles, how many are blue?

a)

10

b)

20

c)

30

d)

40

38.

A bag of marbles contains blue, yellow and white marbles. The probability of getting a blue marble is 1/3 and the probability of getting a yellow marble is 1/2. The probability of getting a white marble is 1/6. If there are 60 marbles, how many are yellow?

a)

10

b)

20

c)

30

d)

40

39.

A bag of marbles contains blue, yellow and white marbles. The probability of getting a blue marble is 1/3 and the probability of getting a yellow marble is 1/2. The probability of getting a white marble is 1/6. If there are 60 marbles, how many are white?

a)

10

b)

20

c)

30

d)

40

40.

Today for lunch, you can choose between pizza, tacos, chicken or salad for your main course. You can also pick between ice cream or brownies for a dessert. How many different meals choices are there for lunch?

a)

2

b)

4

c)

8

d)

16

41.

Today for lunch, you can choose between pizza, tacos, chicken or salad for your main course. You can also pick between ice cream or brownies for a dessert. If you were to pick a meal at random, what is the theoretical probability that the meal would include tacos and ice cream?

a)

1/8

b)

1/4

c)

1

d)

2

42.

Today for lunch, you can choose between pizza, tacos, chicken or salad for your main course. You can also pick between ice cream or brownies for a dessert. If you were to pick a meal at random, what is the theoretical probability that the meal would include salad?

a)

1/8

b)

1/4

c)

4

d)

8

43.

There is a bag with an unknown amount of blocks inside. Students took turns pulling out blocks and putting them back in after recording the data. After 34 trials, the students pulled; 12 reds, 10 greens, 8 blues, and 4 yellows. If 17 more students pulled a block, how many would you expect to be red?

a)

7

b)

6

c)

5

d)

2

44.

There is a bag with an unknown amount of blocks inside. Students took turns pulling out blocks and putting them back in after recording the data. After 34 trials, the students pulled; 12 reds, 10 greens, 8 blues, and 4 yellows. If 17 more students pulled a block, how many would you expect to be blue?

a)

7

b)

6

c)

5

d)

2

45.

There is a bag with an unknown amount of blocks inside. Students took turns pulling out blocks and putting them back in after recording the data. After 34 trials, the students pulled; 12 reds, 10 greens, 8 blues, and 4 yellows. If 17 more students pulled a block, how many would you expect to be yellow?

a)

7

b)

6

c)

5

d)

2

46.

There is a bag with an unknown amount of blocks inside. Students took turns pulling out blocks and putting them back in after recording the data. After 34 trials, the students pulled; 12 reds, 10 greens, 8 blues, and 4 yellows. If 17 more students pulled a block, how many would you expect to be green?

a)

7

b)

6

c)

5

d)

2

47.

You have a bag with 34 colored blocks. Currently, there are 12 red blocks, 10 green blocks, 8 blues block, and 4 yellow blocks inside. How many red blocks would you need to add to the bag to increase the chance of pulling a red block to 50%?

a)

5

b)

10

c)

15

d)

20

48.

In making purple, what is the probability of making purple using both of these spinners (in either order)? Purple = Red + Blue

a)

3/30

b)

5/18

c)

7/18

d)

1/6

49.

In making purple, what is the probability of making purple if you just used Spinner A and spun it twice? Purple = Red + Blue

a)

2

b)

2/9

c)

1/9

d)

1/3

50.

In making purple, what is the probability of making purple if you just used Spinner B and spun it twice? Purple = Red + Blue

a)

1/36

b)

2/9

c)

6/36

d)

1/3

51.

The researchers change their original plan and decide to add food in the simple maze such that the probability of each mouse turning left is 60%. What is the probability that the first mouse will turn left and the second mouse will turn right? Draw a tree diagram to support your answer.

a)

9%

b)

24%

c)

36%

d)

48%

52.

According to a meteorologist from Scranton, Pa, there is a 90% chance of snow on Monday and a 70% chance of snow on Tuesday. Draw a tree diagram or area model to find the probability of it snowing on both days?

a)

49%

b)

54%

c)

63%

d)

81%

53.

In mid-July, Elena and Michelle decide to go camping with a group of friends. They plan to set up their tent in Cave B. What is the probability that they will make it to Cave B in the first try without getting lost? Draw a tree diagram to support your answer.

a)

1/2

b)

1/4

c)

1/10

d)

1/3

54.

The Farace family has three kids. Assume that the probability of a boy or girl is for each birth. Represent all the possible outcomes using a tree diagram. What is the probability that exactly two of the Farace children are girls and are born in a row?

a)

1/8

b)

1/4

c)

1/2

d)

2/3

55.

You spin the spinner. Are the possible outcomes 1, 2, and 3 equally likely?

a)

Yes, they all have a probability of 1/3.

b)

Yes, they all have a probability of 1/4.

c)

No, the probabilities are not equal. The probability of getting a 1 is more likely.

d)

No, the probabilities are not equal. The probability of getting a 3 is more likely.

56.

A bag contains pink, purple and red marbles. The probability of pulling a pink marble is 1/4. The probability of pulling a purple marble is 1/8. The probability of pulling a red marble is 5/8. If there are 32 marbles, how many are there of each color?

a)

2 pink marbles, 14 purple marbles and 18 red marbles

b)

7 pink marbles, 13 purple marbles and 14 red marbles

c)

12 pink marbles, 9 purple marbles and 13 red marbles

d)

8 pink marbles, 4 purple marbles and 20 red marbles

57.

A bag contains pink, purple and red marbles. The probability of pulling a pink marble is 1/8. The probability of pulling a purple marble is 3/4. The probability of pulling a red marble is 7/16. If there are 32 marbles, how many are there of each color?

a)

4 pink marbles, 24 purple marbles, 14 red marbles

b)

10 pink marbles, 20 purple marbles, 4 red marbles

c)

18 pink marbles, 11 purple marbles, 5 red marbles

d)

21 pink marbles, 9 purple marbles, 4 red marbles

58.

Miss Schmidt attempted 40 free throws and made 30 of them. Based on this information, answer the following questions about this one-and-one free throw situation.

What is Miss Schmidt’s free throw percentage?

a)

60%

b)

65%

c)

70%

d)

75%

59.

What is Miss Moore's average number of points in a one-and-one free-throw situation if she has a free throw percentage of 40%?

a)

56 points per situation

b)

.40 points per situation

c)

.56 points per situation

d)

40 points per situation

60.

The Spinner Game at the Monroe Township Carnival has you spinning one spinner that is broken up into two sections, one red section and one blue section. It costs $.75 to play. If the player gets the red section, then the player wins $2.00.

If you play the game 96 times, how much money would you expect to win or lose? Explain your reasoning.

a)

You would expect to win $24.

b)

You would expect to lose $24.

c)

You would expect to win $36.

d)

You would expect to lose $36.

Probability Unit Review

Total questions: 60

Worksheet time: 5hrs 0mins

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