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Compound Probability Review (Regular)

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.
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

2.

A single 6-sided die is rolled. What is the probability of rolling a number greater than 3 or an even number?

a)

1

b)

2/3

c)

5/6

d)

None of the above

3.

If you spin two times, what is the probability of landing on green both times?

a)

16+16\frac{1}{6}+\frac{1}{6}

b)

16×16\frac{1}{6}\times\frac{1}{6}

c)

16×26\frac{1}{6}\times\frac{2}{6}

d)

13×13\frac{1}{3}\times\frac{1}{3}

4.

A recent study of a metropolitan area found that 31% of people owned a SUV, 74% of people surveyed owned a car, and 10% owned both. What's the probability that a randomly chosen person owned a SUV or a car?

a)

85%

b)

95%

c)

5%

d)

15%

5.
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)

1/12

b)

1/4

c)

1/8

d)

1/2

6.

Amanda spins a spinner numbered 1 to 10. What is the probability that the spinner lands on an odd number or a number that is divisible by 3?

a)

45\frac{4}{5}

b)

35\frac{3}{5}

c)

15\frac{1}{5}

d)

320\frac{3}{20}

7.
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.
a)

3/20

b)

1/4

c)

3/31

d)

2/27

8.

The probability that Flight 9876 will be late is 0.27. The probability that Flight 123 will be late is 0.11. The probability that both flights will be late is 0.09. What is the probability that Flight 9876 or Flight 123 will be late?

a)

0.47

b)

0.38

c)

0.29

d)

0.07

9.
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

10.

A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a king or a club?

a)

1/52

b)

16/52

c)

17/52

d)

None of the above

11.
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

12.

A seven-sided number cube with sides numbered 1, 2, 3, 4, 5, 6, 7 is rolled. What is the probability that a 4 or an odd number is rolled?

a)

449\frac{4}{49}

b)

27\frac{2}{7}

c)

37\frac{3}{7}

d)

57\frac{5}{7}

13.
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

14.

Thirty-two percent of families residing in a rural, farming town own a goat and 41% of families own a dog. Twenty-four percent of families own both types of animals. If a family from this town is chosen at random, what is the probability that it owns either a goat or a dog?

a)

0.15

b)

0.33

c)

0.49

d)

0.97

15.
A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 
a)

4/26 + 1/2

b)

4/26 x 1/2

c)

4/25 x 1/2

d)

4/25 + 1/2