Theoretical Probability: Learn and Practice with Interactive Quizzes

Question 1

A fair coin is flipped twice. What is the probability of getting heads on the first flip and tails on the second flip?

Accepted Answer

1/4

Answer

1/2

Answer

1/8

Answer

1/16

Question 2

A survey of 200 people showed that 120 of them have a pet. What is the probability that a randomly selected person from this group has a pet?

Accepted Answer

3/5

Answer

1/2

Answer

1/4

Answer

1/5

Question 3

A bag has 5 red marbles, 3 blue marbles, and 2 yellow marbles. If you pick a marble without looking, what's the chance you'll pick a blue marble?

Accepted Answer

1 in 3

Answer

1 in 5

Answer

1 in 2

Answer

1 in 4

Question 4

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

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 5

A biased coin has a probability of landing on heads of 0.6. What is the probability of the coin landing on tails?

Accepted Answer

0.4

Answer

0.5

Answer

0.6

Answer

1.0

Question 6

In a deck of 52 playing cards, what is the probability of drawing a heart card?

Accepted Answer

1 out of 13

Answer

1 out of 4

Answer

1 out of 5

Answer

1 out of 8

Question 7

A coin is flipped 100 times. What is the expected number of heads?

Accepted Answer

50

Answer

10

Answer

100

Answer

500

Question 8

Two fair coins are flipped. What is the probability of getting one head and one tail?

Accepted Answer

1 out of 4

Answer

1 out of 2

Answer

3 out of 4

Answer

1

Question 9

The weather forecaster predicts a 70% chance of rain tomorrow. What is the chance that it will not rain tomorrow?

Accepted Answer

0.3

Answer

0.4

Answer

0.5

Answer

0.6

Question 10

A coin is flipped twice. What is the probability of getting tails on both flips?

Accepted Answer

1/16

Answer

1/2

Answer

1/4

Answer

1/8

Question 11

A survey of 100 students found that 60% of them enjoy pizza. What is the probability that a randomly selected student likes pizza?

Accepted Answer

0.6

Answer

0.06

Answer

0.3

Answer

0.9

Question 12

A box contains 4 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a ball that is not red?

Accepted Answer

5/9

Answer

1/2

Answer

1/3

Answer

1/4

Question 13

A box contains 6 blue pens, 4 red pens, and 2 green pens. What is the probability of randomly drawing a blue pen or a green pen?

Accepted Answer

7/12

Answer

2/3

Answer

5/12

Answer

1/2

Question 14

A game has a spinner with 8 equal sections. If the spinner is spun twice, what is the probability of getting an odd number both times?

Accepted Answer

1/16

Answer

1/8

Answer

1/4

Answer

1/2

Question 15

On a six-sided die, what is the probability of rolling a six?

Accepted Answer

1 out of 6

Answer

1 out of 2

Answer

1 out of 3

Answer

1 out of 4

Question 16

Which of these is equivalent to a probability of 75%?

Accepted Answer

0.75

Answer

0.7

Answer

0.07

Answer

75

Question 17

A bag has 4 red, 3 blue, and 2 green marbles. If you draw a marble at random, what is the likelihood of drawing a blue or green marble?

Accepted Answer

5/9

Answer

1/2

Answer

2/5

Answer

3/9

Question 18

In an experiment with 6 possible results, what is the chance of any one of those results occurring?

Accepted Answer

1 out of 6

Answer

1 out of 5

Answer

1 out of 4

Answer

1 out of 3

Question 19

You flip a coin twice. What is the probability of getting heads both times?

Accepted Answer

1/4

Answer

1/2

Answer

2/4

Answer

3/4

Question 20

Why is it uncommon to win the lottery?

Accepted Answer

There are many possible combinations.

Answer

All outcomes are not equally likely.

Answer

The lottery is rigged.

Answer

The lottery is unfair.

Question 21

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

Accepted Answer

3/8

Answer

1/4

Answer

1/8

Answer

1/2

Question 22

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

Accepted Answer

1/3

Answer

1/2

Answer

1/4

Answer

1/6

Question 23

A deck of playing cards contains 52 cards. What is the probability of drawing a card that is either a heart or a spade?

Accepted Answer

1/4

Answer

1/2

Answer

1/13

Answer

1/52

Question 24

A spinner with 8 equal sections, labeled 1 to 8, is spun. Calculate the probability of the spinner landing on an even number.

Accepted Answer

1/2

Answer

1/4

Answer

1/8

Answer

3/8

Question 25

Which of the following is not a valid probability value?

Accepted Answer

1.5

Answer

0

Answer

0.5

Answer

1

Question 26

A fair dice is rolled. Calculate the probability of rolling a number greater than 3.

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 27

A spinner is divided into 8 equal sections, each representing a different color. If the spinner is spun once, what is the probability of landing on the color blue?

Accepted Answer

1/8

Answer

1/4

Answer

1/6

Answer

1/12

Question 28

A box contains 5 pencils and 3 erasers. What is the probability of randomly selecting a pencil?

Accepted Answer

5/8

Answer

1/3

Answer

3/8

Answer

1/2

Question 29

A bag contains 6 red marbles and 4 blue marbles. What is the probability of drawing a red or blue marble?

Accepted Answer

5/6

Answer

1/6

Answer

2/6

Question 30

A standard deck of cards has 52 cards, including 13 hearts. If a card is drawn at random, what is the probability that it is NOT a heart?

Accepted Answer

39/52

Answer

13/39

Answer

13/52

Question 31

A box contains 12 balls: 5 red, 4 blue, and 3 green. What is the probability of drawing a red ball or a green ball?

Accepted Answer

9/12

Answer

4/12

Answer

5/12

Question 32

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you randomly draw one marble from the bag, what is the probability of drawing a blue marble?

Accepted Answer

3/10

Answer

1/2

Answer

1/5

Answer

2/5

Question 33

There are 10 students in a class. 6 students are girls, and 4 students are boys. What is the probability that a randomly chosen student is a girl?

Accepted Answer

3/5

Answer

4/5

Answer

2/5

Answer

1/2

Question 34

A fair die is rolled. What is the probability of rolling an even number?

Accepted Answer

1/2

Answer

1/4

Answer

1/3

Answer

1/6