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: 6blue: 2green: 2

A bag holds 6 red, 2 blue and 2 green balls. You draw one at random. What is the probability P that it is not red?

6 / 2 / 2
P =
2.Easy
red: 2blue: 6green: 5

A bag holds 2 red, 6 blue and 5 green balls. You draw one at random. What is the probability P that it is red?

2 / 6 / 5
P =
3.Medium
n = 7k = 2N = ?

In how many ways N can a committee of 2 people be chosen from a group of 7? The order does not matter.

n = 7k = 2
N =
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)−30.7860.2270.02

A game costs €3 to play. You win €9 with probability 0.2 and €30 with probability 0.02; otherwise you win nothing. The stake is not returned. Find the expected net gain E(G) per game.

stake = €3€9: p = 0.2€30: p = 0.02
E(G) = €
6.Hard
n = 8, p = 0.5: P(X = 1) = ?k012345678

A test has 8 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 = 8p = 0.5k = 1
P =

Answer key

  1. 1. P = 0.4
  2. 2. P = 0.1538
  3. 3. N = 21
  4. 4. P = 0.6651
  5. 5. E(G) = −0.6 €
  6. 6. P = 0.03125

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