Probability Quizzes: Test Your Understanding of Chance and Likelihood

Question 1

A game requires rolling a 6-sided die. What is the probability of rolling a number less than 5?

Accepted Answer

2/3

Answer

1/2

Answer

1/3

Answer

5/6

Question 2

A weather forecaster predicts a 30% chance of rain. What is the probability that it will rain?

Accepted Answer

30%

Answer

50%

Answer

70%

Answer

100%

Question 3

A bag contains 5 red marbles and 3 blue marbles. If two marbles are drawn without replacement, what is the probability that both marbles are blue?

Accepted Answer

1/8

Answer

1/4

Answer

1/5

Answer

1/6

Question 4

Which statement about the properties of probability is incorrect?

Accepted Answer

Probability can exceed 1.

Answer

Probabilities range from 0 to 1.

Answer

The probability of an event plus the probability of its complement equals 1.

Answer

The probability of an impossible event is always 0.

Question 5

Which probability distribution models the number of successes in a sequence of independent experiments?

Accepted Answer

Binomial distribution

Answer

Normal distribution

Answer

Poisson distribution

Answer

Uniform distribution

Question 6

An experiment has 8 possible outcomes. What is the probability of getting an even number?

Accepted Answer

1 / 2

Answer

1 / 3

Answer

1 / 4

Answer

1 / 8

Question 7

Two coins are flipped. What is the probability of obtaining two heads?

Accepted Answer

1 / 8

Answer

1 / 2

Answer

1 / 4

Answer

1 / 16

Question 8

Which of the following is NOT a valid way to express probability?

Accepted Answer

Ratio

Answer

Fraction

Answer

Decimal

Answer

Percentage

Question 9

Which of the following is an example of an independent event?

Accepted Answer

Rolling a dice and spinning a spinner

Answer

Flipping a coin twice

Answer

Drawing a card from a deck and not replacing it

Answer

Drawing two cards from a deck without replacement

Question 10

On a standard six-sided die, what is the likelihood of rolling an even number?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 11

If the probability of an event not happening is 0.6, what is the probability of it happening?

Accepted Answer

0.4

Answer

0.6

Answer

0.8

Answer

1

Question 12

A bag holds 5 red balls, 3 blue balls, and 2 green balls. If one ball is chosen randomly, what is the probability of choosing a red ball?

Accepted Answer

1/5

Answer

1/2

Answer

1/3

Answer

1/10

Question 13

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

Accepted Answer

1/4

Answer

1/2

Answer

1/8

Answer

1/16

Question 14

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of both events happening?

Accepted Answer

0.15

Answer

0.8

Answer

0.6

Answer

0.3

Question 15

In a survey of 1000 people, 600 like coffee and 400 like tea. If 200 people like both coffee and tea, what is the probability that a person chosen randomly likes tea?

Accepted Answer

0.4

Answer

0.5

Answer

0.6

Answer

0.8

Question 16

What is the nature of probability?

Accepted Answer

A measure of how likely an event is to occur

Answer

A measure that can vary between -1 and 1

Answer

A measure always expressed as a percentage

Answer

A measure unaffected by other events

Question 17

When rolling a fair six-sided die twice, what's the probability of getting a total of 7?

Accepted Answer

1/12

Answer

1/3

Answer

1/6

Answer

1/24

Question 18

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

Accepted Answer

2/5

Answer

1/3

Answer

1/2

Answer

3/10

Question 19

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

Accepted Answer

2/3

Answer

1/2

Answer

1/3

Answer

1/6

Question 20

A card is drawn randomly from a standard deck of 52 cards. What is the probability that it is a face card (jack, queen, or king)?

Accepted Answer

4/13

Answer

1/13

Answer

1/4

Answer

3/52

Question 21

A coin is flipped three times. What is the probability of getting exactly two tails?

Accepted Answer

3/8

Answer

1/4

Answer

1/2

Answer

1/8

Question 22

What is the definition of probability, the likelihood of an event occurring?

Accepted Answer

The likelihood of an event happening

Answer

The certainty of an event happening

Answer

The number of ways an event can happen

Question 23

A coin is tossed once. What is the probability of getting heads?

Accepted Answer

1/2

Answer

1/4

Question 24

Which of the following is an example of a mutually exclusive event?

Accepted Answer

Flipping a coin and getting heads or tails

Answer

Rolling a 6 on a die and getting an even number

Question 25

What is the complement of the event, "It rains tomorrow"?

Accepted Answer

It does not rain tomorrow

Answer

Question 26

Independent events are events where:

Accepted Answer

The outcome of one event has no effect on the outcome of the other.

Answer

The events are mutually exclusive

Question 27

The probability of event A is 0.2 and the probability of event B is 0.4. What is the probability of event A or B (P(A or B))?

Accepted Answer

0.6

Question 28

The expected value of a random variable is a:

Accepted Answer

Measure of the average value of the variable

Answer

Measure of the spread of the variable

Question 29

When rolling a standard six-sided die, what's the chance of getting a 6?

Accepted Answer

1 in 6

Answer

1 in 3

Answer

1 in 2

Answer

1 in 4

Question 30

Which of the following is NOT a method for calculating probability?

Accepted Answer

Intuitive (based on gut feeling)

Answer

Empirical (based on observed data)

Answer

Theoretical (based on mathematical models)

Answer

Subjective (based on personal judgment)

Question 31

Which of the following statements about probability is true?

Accepted Answer

Probability is a measure of the likelihood of an event occurring, ranging from 0 to 1.

Answer

Probability can have values less than 0 or greater than 1.

Answer

Probability is always a whole number.

Answer

Probability is completely subjective and varies greatly from person to person.

Question 32

What is the probability of getting at least one head when flipping three coins?

Accepted Answer

7/8

Answer

1/2

Answer

1/4

Answer

3/4

Question 33

What is the complement of an event A?

Accepted Answer

The event that A does not occur

Answer

The event that A occurs

Answer

The event that A or another event B occurs

Answer

The event that A and another event B do not occur

Question 34

Which of the following probability distributions is used to model the number of successes in a sequence of independent experiments, such as rolling a die or flipping a coin?

Accepted Answer

Binomial distribution

Answer

Normal distribution

Answer

Poisson distribution

Answer

Uniform distribution

Question 35

What is the expected value of rolling a dice?

Accepted Answer

2.5 (the average of all possible outcomes)

Answer

1 (the smallest possible outcome)

Answer

3.5 (the most likely outcome)

Answer

6 (the largest possible outcome)

Question 36

A bag contains 3 red marbles and 4 blue marbles. If a marble is drawn at random, what is the probability of drawing a blue marble?

Accepted Answer

4/7

Answer

3/7

Answer

1/2

Question 37

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

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Question 38

What is the probability of rolling an even number or a prime number on a standard six-sided die?

Accepted Answer

7/12

Answer

5/12

Answer

1/2

Question 39

A box contains 8 balls, 3 of which are red and 5 of which are blue. Two balls are drawn at random, with replacement. What is the probability that both balls are red?

Accepted Answer

3/16

Answer

1/4

Answer

1/8

Question 40

What is the probability of rolling an even number on a standard six-sided dice?

Accepted Answer

1/2

Answer

1/3

Answer

1/6

Answer

3/4

Question 41

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of selecting a green marble, given that you have already selected a blue marble?

Accepted Answer

1/4

Answer

1/5

Answer

1/2

Question 42

A standard deck of cards contains 52 cards. What is the probability of drawing a king of hearts?

Accepted Answer

1/52

Answer

1/4

Answer

1/13

Answer

4/52

Question 43

A survey found that 40% of students like math and 60% like science. If a student is randomly selected, what is the probability that they like either math or science?

Accepted Answer

0.80

Answer

0.60

Answer

0.24

Answer

0.40

Question 44

A bag contains 6 red marbles, 4 blue marbles, and 2 green marbles. If three marbles are drawn with replacement, what is the probability of drawing three marbles of different colors?

Accepted Answer

(6/12) * (4/12) * (2/12)

Answer

(6/12)^2

Answer

(2/12)^3

Answer

(4/12)^3

Question 45

What is the probability of getting at least one tail when flipping a fair coin twice?

Accepted Answer

3/4

Answer

1/8

Answer

1/2

Answer

1/4

Question 46

A bag contains 4 red balls and 3 blue balls. If a ball is drawn at random, what is the probability of drawing a blue ball?

Accepted Answer

3/7

Answer

1/2

Answer

1/3

Question 47

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

Accepted Answer

1/4

Answer

1/3

Answer

1/2

Answer

1/8

Question 48

A box contains 6 green marbles, 4 blue marbles, and 2 red marbles. If two marbles are drawn at random without replacement, what is the probability of drawing a green marble followed by a blue marble?

Accepted Answer

6/25

Answer

12/25

Answer

8/25

Answer

10/25

Question 49

A survey of 100 students showed that 60 like math and 40 like science. If a student is selected at random, what is the probability that the student likes both math and science?

Accepted Answer

0.24

Answer

0.36

Answer

0.42

Answer

0.16

Question 50

A deck of cards contains 52 cards. What is the probability of drawing a king?

Accepted Answer

4/52

Answer

1/4

Answer

1/13

Answer

1/5

Question 51

A six-sided die is rolled twice. What is the probability of rolling a 2 on the first roll and a 4 on the second roll?

Accepted Answer

1/36

Answer

1/24

Answer

1/18

Answer

1/12

Question 52

A bag contains 10 balls, numbered 1 to 10. If three balls are drawn at random with replacement, what is the probability of drawing the numbers 3, 5, and 7 in that order?

Accepted Answer

1/1000

Answer

1/750

Answer

1/250

Answer

1/500

Question 53

A multiple-choice test has 20 questions, each with four answer choices. If a student guesses on every question, what is the probability of getting at least 75% of the questions correct?

Accepted Answer

0.00000062

Answer

0.00000042

Answer

0.00000031

Answer

0.00000125

Question 54

A fair coin is tossed until tails appears. What is the probability that tails appears on the fourth toss?

Accepted Answer

1/8

Answer

1/4

Answer

1/2

Answer

1/16

Question 55

A survey of 200 people showed that 120 people like dogs and 80 people like cats. If one person is selected at random, what is the probability that the person likes both dogs and cats?

Accepted Answer

0.20

Answer

0.30

Answer

0.40

Answer

0.10