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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1.Easy
sum ≥ 7die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is at least 7?

2 dice≥ 7
P =
2.Easy
red: 6blue: 4green: 2

A bag holds 6 red, 4 blue and 2 green balls. You draw one at random. What is the probability P that it is red?

6 / 4 / 2
P =
3.Medium
P(at least one six) = ??1?2?3?4?5?6?7P(six) = 1/6 on each roll

A fair die is rolled 7 times. What is the probability P of getting at least one six?

n = 7
P =
4.Medium
red: 4blue: 6

A bag holds 4 red and 6 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

4 / 6
P =
5.Hard
n = 5, p = 0.25: P(X ≤ 1) = ?k012345

5 components are tested, and each one fails with probability 0.25, independently. What is the probability P that at most one fails?

n = 5p = 0.25
P =
6.Hard
n = 8, p = 0.5: P(X ≤ 1) = ?k012345678

8 components are tested, and each one fails with probability 0.5, independently. What is the probability P that at most one fails?

n = 8p = 0.5
P =

Answer key

  1. 1. P = 0.5833
  2. 2. P = 0.5
  3. 3. P = 0.7209
  4. 4. P = 0.1333
  5. 5. P = 0.6328
  6. 6. P = 0.03516

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