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
xp(x)00.310.120.33?

The table gives the probability distribution of X, but one probability is missing. Find P(X = 3).

x: 0, 1, 2, 3p(x): 0.3, 0.1, 0.3, ?
P(X = 3) =
2.Easy
red: 8blue: 7green: 4

A bag holds 8 red, 7 blue and 4 green balls. You draw one at random. What is the probability P that it is not red?

8 / 7 / 4
P =
3.Medium
P(at least one six) = ??1?2?3?4P(six) = 1/6 on each roll

A fair die is rolled 4 times. What is the probability P of getting at least one six?

n = 4
P =
4.Medium
P(at least one six) = ??1?2?3?4?5?6?7?8P(six) = 1/6 on each roll

A fair die is rolled 8 times. What is the probability P of getting at least one six?

n = 8
P =
5.Hard
n = 5, p = 0.5: P(X = 1) = ?k012345

A test has 5 multiple-choice questions. A student who guesses gets each one right with probability 0.5, independently. What is the probability P of exactly 1 correct answers?

n = 5p = 0.5k = 1
P =
6.Hard
n = 8, p = 0.4: P(X ≤ 1) = ?k012345678

8 components are tested, and each one fails with probability 0.4, independently. What is the probability P that at most one fails?

n = 8p = 0.4
P =

Answer key

  1. 1. P(X = 3) = 0.3
  2. 2. P = 0.5789
  3. 3. P = 0.5177
  4. 4. P = 0.7674
  5. 5. P = 0.1563
  6. 6. P = 0.1064

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