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)00.351?20.3

The table gives the probability distribution of X, but one probability is missing. Find P(X = 1).

x: 0, 1, 2p(x): 0.35, ?, 0.3
P(X = 1) =
2.Easy
red: 2blue: 4green: 4

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

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

A fair die is rolled 5 times. What is the probability P of getting at least one six?

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

A fair die is rolled 6 times. What is the probability P of getting at least one six?

n = 6
P =
5.Hard
€p(x)−50.83100.152450.02

A game costs €5 to play. You win €15 with probability 0.15 and €250 with probability 0.02; otherwise you win nothing. The stake is not returned. Find the expected net gain E(G) per game.

stake = €5€15: p = 0.15€250: p = 0.02
E(G) = €
6.Hard
n = 5, p = 0.1: P(X = 2) = ?k012345

A test has 5 multiple-choice questions. A student who guesses gets each one right with probability 0.1, independently. What is the probability P of exactly 2 correct answers?

n = 5p = 0.1k = 2
P =

Answer key

  1. 1. P(X = 1) = 0.35
  2. 2. P = 0.2
  3. 3. P = 0.5981
  4. 4. P = 0.6651
  5. 5. E(G) = 2.25 €
  6. 6. P = 0.0729

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