Probability Quizzes: Test Your Understanding of Chance and Probability

Question 1

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random, what is the probability that it is not green?

Accepted Answer

10/11

Answer

1/3

Answer

1/2

Answer

2/5

Question 2

A fair six-sided die is rolled. What is the probability that the number rolled is greater than 4 given that it is an even number?

Accepted Answer

1/3

Answer

1/6

Answer

1/4

Answer

1/2

Question 3

Two events, A and B, are independent if:

Accepted Answer

The occurrence of one event does not affect the probability of the other.

Answer

They share no outcomes.

Answer

The events are mutually exclusive.

Question 4

A survey found that 60% of students like math and 40% like science. If 20% of students like both, what is the probability that a student chosen at random likes neither math nor science?

Accepted Answer

0.24

Answer

0.37

Answer

0.40

Question 5

A spinner with 12 equal sections is divided into three sections: red, blue, and green. What is the probability of spinning red or blue?

Accepted Answer

1/2

Answer

1/4

Answer

1/6

Answer

1/12

Question 6

A bag contains 4 red socks, 3 blue socks, and 5 black socks. If two socks are drawn at random with replacement, what is the probability that both socks are black?

Accepted Answer

25/144

Answer

1/3

Answer

1/4

Answer

1/2

Question 7

Two fair coins are tossed. What is the probability of getting at least one tail?

Accepted Answer

3/4

Answer

1/4

Answer

1/8

Answer

1/2

Question 8

A survey of 500 students found that 200 like football, 300 like basketball, and 150 like both. What is the probability that a student chosen at random likes basketball given that they like football?

Accepted Answer

3/5

Answer

1/5

Answer

1/4

Answer

1/2

Question 9

A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random, what is the probability of drawing a red ball?

Accepted Answer

5/8

Answer

2/3

Answer

1/2

Answer

3/8

Question 10

Two dice are rolled. What is the probability of getting a sum of 7?

Accepted Answer

1/6

Answer

1/24

Answer

1/36

Answer

1/12

Question 11

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Accepted Answer

True

Answer

False

Answer

Only if the events are equally likely

Answer

Only if the events are disjoint

Question 12

A bag contains 4 red balls and 6 blue balls. If two balls are drawn without replacement, what is the probability of drawing a red ball on the first draw and a blue ball on the second draw?

Accepted Answer

1/5

Answer

1/15

Answer

1/20

Answer

1/10

Question 13

Two events are mutually exclusive if they cannot both occur at the same time.

Accepted Answer

True

Answer

False

Answer

Only if the events are independent

Answer

Only if the events are equally likely

Question 14

A bag contains 3 red balls, 2 blue balls, and 1 green ball. If two balls are drawn with replacement, what is the probability of drawing a red ball on both draws?

Accepted Answer

9/50

Answer

1/10

Answer

1/25

Answer

1/50

Question 15

A coin is flipped three times. What is the probability of getting at least one head?

Accepted Answer

7/8

Answer

3/8

Answer

1/8

Answer

5/8

Question 16

A bag contains 5 red balls and 3 blue balls. If two balls are drawn randomly without replacement, what is the probability of drawing a blue ball first and then a red ball?

Accepted Answer

3/10

Answer

1/4

Answer

1/3

Answer

7/12

Question 17

Two events, A and B, are independent if:

Accepted Answer

The occurrence of one event does not affect the probability of the other event.

Answer

The events are mutually exclusive.

Answer

The events are equally likely to occur.

Question 18

Two events, A and B, are mutually exclusive if:

Accepted Answer

They cannot occur at the same time.

Answer

The events are independent.

Answer

They are equally likely to occur.

Answer

The occurrence of one event increases the probability of the other event.

Question 19

A lottery has 100 tickets, and 5 of them are winning tickets. If you buy 3 tickets, what is the probability of winning at least one prize?

Accepted Answer

11.76%

Answer

5%

Answer

25%

Answer

15%

Question 20

A deck of cards contains 52 cards. If you draw two cards without replacement, what is the probability of drawing a king and then an ace?

Accepted Answer

1/221

Answer

1/52

Answer

1/26

Answer

1/104

Question 21

Which of the following factors does NOT influence the probability of an event?

Accepted Answer

The time of day

Answer

The number of favorable outcomes

Answer

The number of possible outcomes

Question 22

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. You draw a marble without replacement. What is the probability of drawing a green marble?

Accepted Answer

2/10

Answer

1/10

Answer

5/10

Answer

3/10

Question 23

Which of the following is an example of subjective probability?

Accepted Answer

The probability of a politician winning an election

Answer

The probability of a die rolling a 6

Answer

The probability of a coin landing on heads

Answer

The probability of drawing an ace from a deck of cards

Question 24

Which of the following is a property of probability?

Accepted Answer

Probability values range from 0 to 1, inclusive.

Answer

Probability can be negative.

Answer

Probability is a measure of certainty.