Probability Quizzes: Test Your Understanding of Chance and Probability

Question 1

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of randomly selecting a blue ball?

Accepted Answer

3/10

Answer

1/5

Answer

1/2

Answer

3/5

Question 2

In a survey, 60% of students prefer mathematics. If there are 250 students in a school, how many students prefer mathematics?

Accepted Answer

120

Answer

150

Answer

180

Answer

210

Question 3

Given that P(A) = 0.4 and P(B|A) = 0.6, what is P(A and B)?

Accepted Answer

0.24

Answer

0.1

Answer

0.4

Answer

0.6

Question 4

A bag contains 6 red balls and 4 blue balls. If two balls are drawn at random without replacement, what is the probability of drawing two red balls?

Accepted Answer

1/36

Answer

1/12

Answer

1/6

Answer

1/4

Question 5

A fair coin is tossed three times. What is the probability of getting at least two heads?

Accepted Answer

7/8

Answer

1/2

Answer

3/4

Answer

1

Question 6

What is the probability of rolling a six-sided die and getting a result of 6?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 7

A fair six-sided die is rolled. What is the probability of rolling a number greater than 4?

Accepted Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Answer

1 in 5

Question 8

A bag contains 5 red balls, 3 blue balls, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are blue?

Accepted Answer

3/50

Answer

3/20

Answer

1/10

Answer

1/4

Question 9

Events A and B are independent. If P(A) = 0.4 and P(B) = 0.6, what is P(A ⋂ B)?

Accepted Answer

0.24

Answer

0.1

Answer

0.4

Answer

0.6

Question 10

An experiment is conducted 50 times, resulting in an event occurring 25 times. Determine the experimental probability of the event's occurrence.

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

1/5

Question 11

A box contains 10 apples, 5 oranges, and 3 bananas. Two fruits are drawn randomly without replacement. Determine the probability of drawing an apple first and an orange second.

Accepted Answer

1/15

Answer

1/30

Answer

2/15

Answer

1/10

Question 12

What is the definition of probability?

Accepted Answer

The ratio of favorable outcomes to the total number of possible outcomes.

Answer

The likelihood of an event happening.

Answer

The number of possible outcomes divided by the number of favorable outcomes.

Answer

The complement of an event's probability.

Question 13

What is Bayes' theorem used for?

Accepted Answer

Calculating the likelihood of an event based on previous knowledge.

Answer

Finding the probability of a conditional event.

Answer

Determining the probability of a joint event.

Answer

Calculating the probability of an independent event.

Question 14

What's the probability of getting heads or tails when flipping a coin?

Accepted Answer

0.5

Answer

0.25

Answer

1

Answer

0

Question 15

When a coin is flipped three times, what is the probability of obtaining exactly two heads?

Accepted Answer

1/8

Answer

1/2

Answer

1/4

Answer

1/16

Question 16

A weather forecast predicts a 40% chance of rain tomorrow. If it does rain, there is a 60% chance of traffic congestion. What is the probability of both rain and traffic congestion tomorrow?

Accepted Answer

0.24

Answer

0.1

Answer

0.36

Answer

0.6

Question 17

A fair six-sided die is rolled. What is the probability of rolling a number greater than 3?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 18

A survey of 100 students found that 60 like math, 40 like science, and 20 like both. What is the probability that a randomly selected student likes only science?

Accepted Answer

0.2

Answer

0.4

Answer

0.6

Answer

0.8

Question 19

A deck of cards contains 52 cards. If two cards are drawn at random without replacement, what is the probability that the first card is an ace and the second card is a king?

Accepted Answer

1/221

Answer

1/13

Answer

1/26

Answer

1/52

Question 20

A bag contains 5 red balls and 3 blue balls. If you randomly select one ball from the bag, what is the probability of picking a red ball?

Accepted Answer

5/8

Answer

3/8

Answer

1/4

Answer

1/2

Question 21

A fair coin is flipped three times. What is the probability of getting exactly one head?

Accepted Answer

3/8

Answer

1/8

Answer

1/2

Answer

1/4

Question 22

The probability of rain tomorrow is 40%.  Knowing this, what is the probability that it will also rain the day after tomorrow?

Accepted Answer

Cannot be determined from the given information

Answer

50%

Answer

40%

Answer

60%

Question 23

A survey of 100 students found that 60 like math, 40 like science, and 20 like both. What is the probability that a randomly selected student likes neither math nor science?

Accepted Answer

1/10

Answer

1/2

Answer

1/5

Answer

1/4

Question 24

Event A has a probability of 0.3 and event B has a probability of 0.4. If these events are independent, what is the probability that both A and B will occur?

Accepted Answer

0.12

Answer

0.7

Answer

0.8

Answer

0.2

Question 25

A bag has 5 red balls, 3 blue balls, and 2 green balls. What is the probability of picking a blue ball?

Accepted Answer

3/10

Answer

1/2

Answer

1/5

Answer

2/5

Question 26

A fair coin is flipped twice. What is the probability of getting at least one head?

Accepted Answer

3/4

Answer

1/4

Answer

1/2

Answer

2/3

Question 27

Two standard six-sided dice are rolled. What is the probability that the sum of the numbers rolled is 7?

Accepted Answer

1/6

Answer

1/4

Answer

1/36

Answer

1/12

Question 28

You draw a card randomly from a standard deck of 52 cards. What is the probability that the card is a heart?

Accepted Answer

1/4

Answer

1/52

Answer

1/13

Answer

1/2

Question 29

The probability of an event happening is 0.6. What is the probability of the event not happening?

Accepted Answer

0.4

Answer

1

Answer

0.6

Answer

0.3

Question 30

A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?

Accepted Answer

10/32

Answer

1/2

Answer

1/32

Question 31

A survey of 100 people found that 60 like apples, 45 like oranges, and 20 like both. How many people like only apples?

Accepted Answer

40

Answer

20

Answer

80

Answer

60

Question 32

A box contains 10 light bulbs, of which 3 are defective. Two bulbs are randomly selected without replacement. What is the probability that both bulbs are defective?

Accepted Answer

1/15

Answer

1/30

Answer

1/5

Question 33

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly selecting a blue marble?

Accepted Answer

3/10

Answer

1/2

Answer

2/5

Answer

1/5

Question 34

A fair coin is tossed twice. What is the probability of getting two heads?

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Question 35

A box contains 4 red balls and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

Accepted Answer

2/15

Answer

1/5

Answer

1/3

Answer

4/15

Question 36

A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of picking a blue ball at random?

Accepted Answer

3/10

Answer

1/2

Answer

1/5

Answer

1/3

Question 37

A fair coin is tossed twice. What is the probability of getting two heads?

Accepted Answer

1/4

Answer

1/3

Answer

1/8

Answer

1/2

Question 38

A standard six-sided die is rolled. What is the probability of getting a number greater than 4?

Accepted Answer

1/3

Answer

1/2

Answer

2/3

Answer

1/6

Question 39

Two events are mutually exclusive. If the probability of the first event is 0.4 and the probability of the second event is 0.3, what is the probability of either event happening?

Accepted Answer

0.7

Answer

0.1

Answer

0.6

Answer

0.12

Question 40

A bag contains 4 red marbles and 6 blue marbles. Two marbles are drawn at random without replacement. What is the probability that both marbles are red?

Accepted Answer

2/15

Answer

1/4

Answer

1/5

Answer

1/10

Question 41

A survey found that 60% of students like chocolate ice cream, 50% like vanilla ice cream, and 20% like both. What is the probability that a randomly selected student likes chocolate ice cream but not vanilla?

Accepted Answer

40%

Answer

30%

Answer

10%

Answer

20%

Question 42

A box contains 3 red pens, 2 blue pens, and 5 black pens. If a pen is chosen at random, what is the probability that it is not black?

Accepted Answer

5/10

Answer

1/2

Answer

5/8

Answer

3/10

Question 43

A fair die is rolled 6 times. What is the expected number of times the die will land on a 6?

Accepted Answer

1

Answer

3

Answer

2

Question 44

A bag contains 4 red balls and 6 blue balls. A ball is randomly selected and replaced. Then another ball is randomly selected. What is the probability that both balls are blue?

Accepted Answer

9/25

Answer

3/10

Answer

1/2

Answer

3/5

Question 45

A coin is flipped 5 times. What is the probability of getting at least one head?

Accepted Answer

31/32

Answer

1/32

Answer

1/2

Answer

15/16