Free Printable Pobability of compund events

1.

Which of the following situations is represented by this tree diagram?

a)

3 shirt options, 6 pants options, and 12 shoe options

b)

3 shirt options, 2 pants options, and 2 shoe options

c)

2 shirt options, 3 pants options, and 1 shoe option

2.

On a 6-sided die, which is more likely?

a)

Rolling an odd number

b)

Rolling an even number

c)

They are both equally likely.

3.

Experimental probability is...

a)

the probability of a certain event occuring

b)

the total outcomes of an event

c)

the probability based on the results of a series of trials

d)

the probability of how likely an event might occur

4.

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

5.

The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?

a)

12

b)

8

c)

15

d)

6

6.

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

7.

The Standard Automotive car company offers its midsize car with 2 doors, 4 doors, or as a convertible. The car is available in 3 exterior colors and 2 interior colors. Find the number of different midsize cars the company can produce.

a)

12

b)

18

c)

36

d)

24

8.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

9.

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

a)

32

b)

192

c)

40,320

d)

51,200

10.

A particular model at a New Car Dealership 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

11.

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

a)

2

b)

4

c)

6

d)

8

12.

If you roll two dice, how many possible outcomes?

a)

360

b)

1

c)

36

d)

12

13.

A restaurant offers 7 appetizers and 12 main courses. How many ways can a person order a two-course meal?

a)

84

b)

19

c)

12

d)

96

14.

How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?

a)

7

b)

5

c)

10

d)

12

15.

What is sample space?

a)

All of the Outcomes

b)

What Will Happen

c)

What Can Happen

d)

What I want to Happen

16.

Tree Diagram

a)

A written list of all possible outcomes

b)

A description of all possible outcomes

c)

A drawing with branches of all possible outcomes

17.

An event that consists of two or more events

a)

event

b)

dependent events

c)

experiment

d)

compound event

18.

The ratio of the number of favorable outcomes to the number of possible outcomes when all possible outcomes are equally likely

a)

experiment

b)

Fundamental Counting Principle

c)

experimental probability

d)

theoretical probability

19.

An investigation or procedure that has varying results

a)

event

b)

experimental probability

c)

experiment

d)

outcomes

20.

Probability that is based on repeated trials of an experiment

a)

Fundamental Counting Principle

b)

theoretical probability

c)

experimental probability

d)

experiment

21.

The possible results of an experiment

a)

outcomes

b)

event

c)

experiment

d)

probability

22.

a)

11 possible outcomes

b)

9 possible outcomes

c)

6 possible outcomes

d)

10 possible outcomes

23.

a)

40

b)

11

c)

20

d)

10

24.

What is the probability of choosing a red marble?

a)

9 out of 20

b)

5 out of 20

c)

impossible

25.

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green? Simplify.

a)

1 / 16

b)

1 ⁄ 6

c)

1 ⁄ 8

d)

3 ⁄ 4

26.

When using a 6-sided number cube, what is the probability or rolling a 3, then not rolling a 3, and then rolling an even number? Simplify.

a)

1/12

b)

1/2

c)

5/6

d)

5/72

27.

Find the probability of each set of independent events.

Rolling a six on the first roll of a 1-6 number cube and rolling an odd number on the second roll of the same cube.

Simplify.

a)

1/12

b)

1/6

c)

1/8

d)

1/2

28.

Find the probability of each set of independent events.

Flipping a tail on a coin and spinning NOT a 5 on a spinner with sections of equal area numbered 1-5.

Simplify.

a)

1/2

b)

1/7

c)

2/5

d)

1/10

29.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number greater than 2? Simplify.

a)

1/12

b)

1/4

c)

1/8

d)

1/3

30.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing the letters “A” or "E" when drawing from the bowl? Simplify.

a)

2/49

b)

2/7

c)

3/7

d)

10/49

31.

A number cube is rolled. What is the probability of getting a 6 or a number less than 3? Simplify.

a)

1/3

b)

1/12

c)

1/2

d)

1/18

32.

Sam is fishing in a new pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. What is the probability that he caught a bluegill or a carp? Simplify.

a)

1/40

b)

1/8

c)

3/124

d)

5/16

33.

Lucy has the spinner pictured and spins it. What is the probability that she lands on blue or on yellow? Simplify.

a)

1 / 16

b)

1 ⁄ 2

c)

1 ⁄ 8

d)

3 ⁄ 4

34.

A spinner consists of two A’s, three B’s, and three C’s. What is the probability of spinning a B or C? Simplify.

a)

²/₈

b)

²/₃

c)

⁶/₈

d)

³/₄

35.

In the game that Tony is playing, there is a 1/8 chance the spinner will land on red and a 3/8 chance that the spinner will land on yellow. What is the probability that Tony will NOT spin red, then will spin red?

a)

7/64

b)

7/16

c)

7/8

d)

1

36.

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

37.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

a)

3/100

b)

1/2

c)

1/6

d)

1/8

38.

A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the probability of getting them all right? HINT: What is the probability of getting a True or False question correct on a test

a)

1/60

b)

1/32

c)

1/6

d)

1/2

39.

Sarah has two spinners. Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time. What is the probability that both spinners will land on a color that is not red?

a)

1/6

b)

7/6

c)

4/7

d)

1/3

40.

A letter from the word MATH is chosen at random, then a coin is flipped. What is the probability of choosing the letter 'm' then getting tails?

a)

17/26

b)

1/8

c)

5/13

d)

1/6

41.

What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?

a)

5/6

b)

1/36

c)

1/3

d)

1/6

42.

If you roll two fair six-sided dice, what is the probability that the dice show the same number?

a)

1/6

b)

0

c)

1/7

d)

6/1

43.

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. P(green, black)

a)

3/20

b)

1/4

c)

3/31

d)

2/27

44.

Find the probability of flipping a heads on a coin, and then getting the color yellow on a spinner with 6 colors.

a)

1/12

b)

2/9

c)

3/7

d)

7/19

45.

A school requires students to wear uniforms. They can choose from the following options. How many total choices does a student have?

a)

2

b)

3

c)

10

d)

16

46.

Marty can go to one movie on either Friday or Saturday. His choice of movies includes a comedy or an action movie. Which list shows all of the possible outcomes of one movie on one day?

a)

Comedy, Friday; Comedy, Saturday; Action, Friday; Action, Saturday

b)

Comedy, Action; Action, Comedy; Friday, Saturday; Saturday, Friday

c)

Action, Friday; Action, Saturday

d)

Comedy, Friday; Action, Friday

47.

Four coins are flipped. What is the probability of the coins all landing heads up?

a)

16

b)

2

c)

1/4

d)

1/16

48.

p(white and B)

a)

1/5

b)

2/3

c)

3/8

d)

2/15

49.

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

50.

Is the following mutually exclusive or inclusive?
Probability of drawing a queen or a diamond from a standard deck of cards.

a)

mutually exclusive

b)

inclusive

51.

A die is rolled. What is the probability of rolling a 5 or a number greater than 3?

a)

2/3

b)

1/2

c)

5/6

d)

1

52.

Which of the following shows how to determine P(shaded number or number less than five)?

a)

4/8 + 4/8 - 2/8

b)

4/9 + 2/8 - 4/8

c)

4/8 + 6/8 + 2/8

d)

2/8 + 4/8 - 4/8

53.

A math teacher is setting a test for the class next week. The Probability that the test will be on Monday is 10%, Tuesday is 20%, Wednesday is 45% and Thursday is 15% What is the probability that the test will be on Friday?

a)

15%

b)

5%

c)

20%

d)

10%

54.

Probability can be written as ...

a)

a fraction

b)

a decimal

c)

a percent

d)

all of the above

55.

The best way to show overlapping events is with a

a)

Frequency table

b)

Venn diagram

c)

Bar graph

d)

Pie chart

56.

If A and B are overlapping events, then P(A or B) equals

a)

P(A) + P(B) - P(A and B)

b)

P(A and B)

c)

P(A) x P(B)

d)

P(A) + P(B)

57.

If A and B are mutually exclusive events, then P(A or B) equals

a)

P(A) + P(B)

b)

P(A) x P(B)

c)

Zero

58.

If A and B are mutually exclusive events, then P(A and B) equals

a)

P(A) + P(B)

b)

P(A) x P(B)

c)

Zero

59.

If A and B are independent events, then P(A and B) equals

a)

P(A) + P(B)

b)

P(A) x P(B)

60.

If two events A and B are disjoint, meaning they CANNOT happen at the same time, what is P(A or B)?

a)

$P(A)-P(B)$

b)

$P(A)\cdot P(B)$

c)

$P(A)+P(B)$

d)

$\frac{P(A)}{P(B)}$

61.

If two events A and B are NOT disjoint, meaning they CAN happen at the same time, what is P(A or B)?

a)

$P(A)-P(B)+P\left(AandB\right)$

b)

$P(A)\cdot P(B)-P\left(AandB\right)$

c)

$P(A)+P(B)-P\left(AandB\right)$

d)

$\frac{P(A)}{P(B)}+P\left(AandB\right)$

62.

If two events A and B are disjoint, meaning they CANNOT happen at the same time, what is P(A or B)?

a)

$P(A)-P(B)$

b)

$P(A)\cdot P(B)$

c)

$P(A)+P(B)$

d)

$\frac{P(A)}{P(B)}$

63.

If two events A and B are NOT disjoint, meaning they CAN happen at the same time, what is P(A or B)?

a)

$P(A)-P(B)+P\left(AandB\right)$

b)

$P(A)\cdot P(B)-P\left(AandB\right)$

c)

$P(A)+P(B)-P\left(AandB\right)$

d)

$\frac{P(A)}{P(B)}+P\left(AandB\right)$

64.

A spinner with 5 colors is spun and a 6-sided die is rolled. How many outcomes are in the sample space?

a)

2

b)

11

c)

24

d)

30

65.

A teacher wanted to know the probability of selecting a student at random that either plays sports OR has blond hair. The teacher counted ALL of the students that play sports and then ALL of the students with blond hair, and added the totals together. What did the teacher do wrong?

a)

He didn't count the students with dark hair.

b)

He undercounted the students who play sports and have blond hair.

c)

He overcounted the students who play sports and have blond hair.

d)

He didn't ask the students what sports they play.

66.

What is P(K or 5)?

a)

$\frac{4}{52}=\frac{1}{13}$

b)

$\frac{8}{52}=\frac{2}{13}$

c)

$\frac{16}{52}=\frac{4}{13}$

d)

$\frac{9}{52}$

67.

What is P(heart or 4)?

a)

$\frac{13}{52}=\frac{1}{4}$

b)

$\frac{30}{52}=\frac{15}{26}$

c)

$\frac{16}{52}=\frac{4}{13}$

d)

$\frac{17}{52}$

68.

What is P(black or 7)?

a)

$\frac{26}{52}=\frac{1}{2}$

b)

$\frac{30}{52}=\frac{15}{26}$

c)

$\frac{28}{52}=\frac{7}{13}$

d)

$\frac{32}{52}=\frac{8}{13}$

69.

What is P(red or even)?

a)

$\frac{4}{8}=\frac{1}{2}$

b)

$\frac{5}{8}$

c)

$\frac{6}{8}=\frac{3}{4}$

d)

$\frac{7}{8}$

70.

What is P(red or odd)?

a)

$\frac{4}{8}=\frac{1}{2}$

b)

$\frac{5}{8}$

c)

$\frac{6}{8}=\frac{3}{4}$

d)

$\frac{7}{8}$

71.

What is P(blue or odd)?

a)

$\frac{4}{8}=\frac{1}{2}$

b)

$\frac{5}{8}$

c)

$\frac{6}{8}=\frac{3}{4}$

d)

$\frac{7}{8}$

72.

What is P(K or 5)?

a)

$\frac{4}{52}=\frac{1}{13}$

b)

$\frac{8}{52}=\frac{2}{13}$

c)

$\frac{16}{52}=\frac{4}{13}$

d)

$\frac{9}{52}$

73.

What is P(heart or 4)?

a)

$\frac{13}{52}=\frac{1}{4}$

b)

$\frac{30}{52}=\frac{15}{26}$

c)

$\frac{16}{52}=\frac{4}{13}$

d)

$\frac{17}{52}$

74.

What is P(red or even)?

a)

$\frac{4}{8}=\frac{1}{2}$

b)

$\frac{5}{8}$

c)

$\frac{6}{8}=\frac{3}{4}$

d)

$\frac{7}{8}$

75.

What is P(red or odd)?

a)

$\frac{4}{8}=\frac{1}{2}$

b)

$\frac{5}{8}$

c)

$\frac{6}{8}=\frac{3}{4}$

d)

$\frac{7}{8}$

76.

What is P(blue or odd)?

a)

$\frac{4}{8}=\frac{1}{2}$

b)

$\frac{5}{8}$

c)

$\frac{6}{8}=\frac{3}{4}$

d)

$\frac{7}{8}$

77.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

16/52

d)

26/52

78.

If you roll one die, what is the probability of getting an even number or a multiple of 3?

a)

1/3

b)

2/3

c)

1/2

d)

1/6

79.

What is a compound event? Check all that apply

a)

500 Events

b)

1 event

c)

0 Events

d)

Combination of two or more events

80.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/2

b)

1/12

c)

1/6

d)

2/8

81.

Diamond is playing a game. In the game she has to spin a spinner that is divided into 4 equal sections of green, red, blue, and yellow. What is the probability that on her first spin she will land on green and then red on her second spin?

a)

1/8

b)

1/16

c)

1/4

d)

1/2

82.

You roll a six sided die. What is the probability of rolling an even number three times in a row?

a)

1/2

b)

1/4

c)

1/6

d)

1/8

83.

Which of the following shows how to determine P(shaded number or number less than five)?

a)

4/8 + 4/8 - 2/8

b)

4/9 + 2/8 - 4/8

c)

4/8 + 6/8 + 2/8

d)

2/8 + 4/8 - 4/8

84.

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

85.

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

86.

Which of the following shows how to determine when a die is rolled P(multiple of 2 or a multiple of 3)?

a)

2/6 + 1/6 - 3/6

b)

4/6 + 2/6 - 1/6

c)

3/6 + 2/6 - 1/6

d)

5/6 + 1/6 - 3/6

87.

Which of the following shows how to determine P(steelers or female)?

a)

50/150 + 35/150 - 40/150

b)

40/150 + 35/150 - 25/150

c)

75/150 + 90/150 - 35/150

d)

75/150 + 60/150 - 35/150

88.

Which of the following shows how to determine P(football or basketball)?

a)

20/233 + 55/233 - 5/233

b)

55/233 + 5/233 - 20/233

c)

55/233 + 20/233 + 5/233

d)

75/233 + 25/233 - 20/233

Pobability of compund events

Total questions: 88

Worksheet time: 4hrs 35mins

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