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: 3blue: 3green: 3

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

3 / 3 / 3
P =
2.Easy
sum ≥ 10die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is at least 10?

2 dice≥ 10
P =
3.Medium
n = 9k = 3N = ?

In how many ways N can a committee of 3 people be chosen from a group of 9? The order does not matter.

n = 9k = 3
N =
4.Medium
n = 7k = 4N = ?

In how many ways N can a committee of 4 people be chosen from a group of 7? The order does not matter.

n = 7k = 4
N =
5.Hard
n = 10, p = 0.6: P(X = 1) = ?k012345678910

A test has 10 multiple-choice questions. A student who guesses gets each one right with probability 0.6, independently. What is the probability P of exactly 1 correct answers?

n = 10p = 0.6k = 1
P =
6.Hard
n = 7, p = 0.5: P(X = 2) = ?k01234567

A test has 7 multiple-choice questions. A student who guesses gets each one right with probability 0.5, independently. What is the probability P of exactly 2 correct answers?

n = 7p = 0.5k = 2
P =

Answer key

  1. 1. P = 0.3333
  2. 2. P = 0.1667
  3. 3. N = 84
  4. 4. N = 35
  5. 5. P = 0.001573
  6. 6. P = 0.1641

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