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
red: 4blue: 4green: 5

A bag holds 4 red, 4 blue and 5 green balls. You draw one at random. What is the probability P that it is not red?

4 / 4 / 5
P =
2.Easy
sum ≥ 11die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is at least 11?

2 dice≥ 11
P =
3.Medium
red: 3blue: 9

A bag holds 3 red and 9 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

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

A bag holds 5 red and 4 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

5 / 4
P =
5.Hard
n = 6, p = 0.2: P(X = 2) = ?k0123456

A test has 6 multiple-choice questions. A student who guesses gets each one right with probability 0.2, independently. What is the probability P of exactly 2 correct answers?

n = 6p = 0.2k = 2
P =
6.Hard
n = 10, p = 0.6: P(X = 2) = ?k012345678910

A test has 10 multiple-choice questions. A student who guesses gets each one right with probability 0.6, independently. What is the probability P of exactly 2 correct answers?

n = 10p = 0.6k = 2
P =

Answer key

  1. 1. P = 0.6923
  2. 2. P = 0.08333
  3. 3. P = 0.04545
  4. 4. P = 0.2778
  5. 5. P = 0.2458
  6. 6. P = 0.01062

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