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 = 6die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is exactly 6?

2 dice= 6
P =
2.Easy
red: 6blue: 5

A bag holds 6 red and 5 blue balls. You draw one at random. What is the probability P that it is blue?

6 / 5
P =
3.Medium
red: 5blue: 9

A bag holds 5 red and 9 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

5 / 9
P =
4.Medium
red: 3blue: 5

A bag holds 3 red and 5 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

3 / 5
P =
5.Hard
n = 6, p = 0.7: P(X ≤ 1) = ?k0123456

6 components are tested, and each one fails with probability 0.7, independently. What is the probability P that at most one fails?

n = 6p = 0.7
P =
6.Hard
n = 11, p = 0.25: P(X = 4) = ?k01234567891011

A test has 11 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 = 11p = 0.25k = 4
P =

Answer key

  1. 1. P = 0.1389
  2. 2. P = 0.4545
  3. 3. P = 0.1099
  4. 4. P = 0.1071
  5. 5. P = 0.01094
  6. 6. P = 0.1721

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