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
sum ≥ 3die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is at least 3?

2 dice≥ 3
P =
2.Easy
red: 2blue: 3green: 4

A bag holds 2 red, 3 blue and 4 green balls. You draw one at random. What is the probability P that it is red?

2 / 3 / 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
n = 13k = 4N = ?

In how many ways N can a committee of 4 people be chosen from a group of 13? The order does not matter.

n = 13k = 4
N =
5.Hard
€p(x)−100.69300.34900.01

A game costs €10 to play. You win €40 with probability 0.3 and €500 with probability 0.01; otherwise you win nothing. The stake is not returned. Find the expected net gain E(G) per game.

stake = €10€40: p = 0.3€500: p = 0.01
E(G) = €
6.Hard
n = 6, p = 0.7: P(X = 1) = ?k0123456

A test has 6 multiple-choice questions. A student who guesses gets each one right with probability 0.7, independently. What is the probability P of exactly 1 correct answers?

n = 6p = 0.7k = 1
P =

Answer key

  1. 1. P = 0.9722
  2. 2. P = 0.2222
  3. 3. P = 0.5177
  4. 4. N = 715
  5. 5. E(G) = 7 €
  6. 6. P = 0.01021

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