Probability worksheet with answers

Free printable Probability worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
sum = 8die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is exactly 8?

2 dice= 8
P =
2.Easy
red: 2blue: 5green: 5

A bag holds 2 red, 5 blue and 5 green balls. You draw one at random. What is the probability P that it is blue?

2 / 5 / 5
P =
3.Medium
n = 12k = 2N = ?

In how many ways N can a committee of 2 people be chosen from a group of 12? The order does not matter.

n = 12k = 2
N =
4.Medium
n = 15k = 4N = ?

In how many ways N can a committee of 4 people be chosen from a group of 15? The order does not matter.

n = 15k = 4
N =
5.Hard
n = 6, p = 0.25: P(X = 4) = ?k0123456

A test has 6 multiple-choice questions. A student who guesses gets each one right with probability 0.25, independently. What is the probability P of exactly 4 correct answers?

n = 6p = 0.25k = 4
P =
6.Hard
n = 12, p = 0.2: P(X ≤ 1) = ?k0123456789101112

12 components are tested, and each one fails with probability 0.2, independently. What is the probability P that at most one fails?

n = 12p = 0.2
P =

Answer key

  1. 1. P = 0.1389
  2. 2. P = 0.4167
  3. 3. N = 66
  4. 4. N = 1365
  5. 5. P = 0.03296
  6. 6. P = 0.2749

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