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: 5blue: 8green: 5

A bag holds 5 red, 8 blue and 5 green balls. You draw one at random. What is the probability P that it is blue?

5 / 8 / 5
P =
2.Easy
red: 8blue: 3green: 3

A bag holds 8 red, 3 blue and 3 green balls. You draw one at random. What is the probability P that it is not red?

8 / 3 / 3
P =
3.Medium
red: 3blue: 3

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

3 / 3
P =
4.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 =
5.Hard
€p(x)−20.8380.15380.02

A game costs €2 to play. You win €10 with probability 0.15 and €40 with probability 0.02; otherwise you win nothing. The stake is not returned. Find the expected net gain E(G) per game.

stake = €2€10: p = 0.15€40: p = 0.02
E(G) = €
6.Hard
n = 9, p = 0.5: P(X = 3) = ?k0123456789

A test has 9 multiple-choice questions. A student who guesses gets each one right with probability 0.5, independently. What is the probability P of exactly 3 correct answers?

n = 9p = 0.5k = 3
P =

Answer key

  1. 1. P = 0.4444
  2. 2. P = 0.4286
  3. 3. P = 0.2
  4. 4. P = 0.5981
  5. 5. E(G) = 0.3 €
  6. 6. P = 0.1641

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