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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
red: 6blue: 6green: 1

A bag holds 6 red, 6 blue and 1 green balls. You draw one at random. What is the probability P that it is not red?

6 / 6 / 1
P =
2.Easy
red: 2blue: 4green: 1

A bag holds 2 red, 4 blue and 1 green balls. You draw one at random. What is the probability P that it is red?

2 / 4 / 1
P =
3.Medium
n = 9k = 2N = ?

In how many ways N can a committee of 2 people be chosen from a group of 9? The order does not matter.

n = 9k = 2
N =
4.Medium
xp(x)00.3510.3520.130.2μ = 1.15

For the distribution shown, find the standard deviation σ of X.

x: 0, 1, 2, 3p(x): 0.35, 0.35, 0.1, 0.2
σ =
5.Hard
n = 9, p = 0.3: P(X = 2) = ?k0123456789

A test has 9 multiple-choice questions. A student who guesses gets each one right with probability 0.3, independently. What is the probability P of exactly 2 correct answers?

n = 9p = 0.3k = 2
P =
6.Hard
n = 6, p = 0.25: P(X = 2) = ?k0123456

A test has 6 multiple-choice questions. A student who guesses gets each one right with probability 0.25, independently. What is the probability P of exactly 2 correct answers?

n = 6p = 0.25k = 2
P =

Answer key

  1. 1. P = 0.5385
  2. 2. P = 0.2857
  3. 3. N = 36
  4. 4. σ = 1.108
  5. 5. P = 0.2668
  6. 6. P = 0.2966

Full step-by-step solutions: practise this topic on examproblems.com.