Practice Probability in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Probability is a number between 0 and 1 (inclusive) that measures how likely an event is to occur, where 0 means impossible and 1 means certain.

How confident you should be that something will happen. 0 = impossible, 1 = certain.

Showing a random 20 of 50 problems.

Example 1

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

Example 2

medium
Two coins are flipped. P(two heads)?

Example 3

medium
A jar has 22 red, 33 green, 55 blue. P(red or green)?

Example 4

medium
A card is drawn from a deck. P(red queen)?

Example 5

hard
Two dice are rolled. P(product is odd)?

Example 6

medium
Two fair dice are rolled. P(both show 66)?

Example 7

medium
Two fair dice are rolled. P(sum =8=8)?

Example 8

easy
In a class of 2020, 1212 are girls. A student is picked at random. P(girl)?

Example 9

easy
A fair die is rolled. What is the probability of rolling a 44?

Example 10

challenge
The gambler's fallacy: after 55 heads in a row, is tails 'more likely' on the next flip? Explain.

Example 11

easy
What is the probability of an impossible event?

Example 12

medium
If P(rain) = 25\frac{2}{5}, what are the odds in favor of rain?

Example 13

medium
A coin is flipped 3 times. P(exactly 2 heads)?

Example 14

medium
A die is rolled twice. P(at least one 66)?

Example 15

easy
A coin is flipped. What is the probability of heads?

Example 16

easy
A bag has 22 red, 33 blue, and 55 green marbles. P(green)?

Example 17

easy
The probability of an event is 25\frac{2}{5}. P(complement)?

Example 18

medium
A card is drawn from a standard deck. P(face card: J/Q/K)?

Example 19

easy
P(not rolling a 6) on a fair die?

Example 20

challenge
A bag has 55 red and 55 blue. Draw 22 without replacement. P(one of each color)?