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: 7blue: 8green: 3

A bag holds 7 red, 8 blue and 3 green balls. You draw one at random. What is the probability P that it is red?

7 / 8 / 3
P =
2.Easy
sum ≥ 7die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is at least 7?

2 dice≥ 7
P =
3.Medium
red: 6blue: 5

A bag holds 6 red and 5 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

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

In how many ways N can a committee of 3 people be chosen from a group of 7? The order does not matter.

n = 7k = 3
N =
5.Hard
n = 9, p = 0.2: P(X ≤ 1) = ?k0123456789

9 components are tested, and each one fails with probability 0.2, independently. What is the probability P that at most one fails?

n = 9p = 0.2
P =
6.Hard
n = 6, p = 0.3: P(X = 4) = ?k0123456

A test has 6 multiple-choice questions. A student who guesses gets each one right with probability 0.3, independently. What is the probability P of exactly 4 correct answers?

n = 6p = 0.3k = 4
P =

Answer key

  1. 1. P = 0.3889
  2. 2. P = 0.5833
  3. 3. P = 0.2727
  4. 4. N = 35
  5. 5. P = 0.4362
  6. 6. P = 0.05953

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