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: 4blue: 3green: 3

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

4 / 3 / 3
P =
2.Easy
sum = 4die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is exactly 4?

2 dice= 4
P =
3.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 =
4.Medium
n = 13k = 5N = ?

In how many ways N can a committee of 5 people be chosen from a group of 13? The order does not matter.

n = 13k = 5
N =
5.Hard
xp(x)10.1520.3530.2540.25μ

X has the distribution shown, and Y = 5X + 10. Find the standard deviation σY of Y.

x: 1, 2, 3, 4p(x): 0.15, 0.35, 0.25, 0.25Y = 5X + 10
σY =
6.Hard
n = 8, p = 0.6: P(X = 2) = ?k012345678

A test has 8 multiple-choice questions. A student who guesses gets each one right with probability 0.6, independently. What is the probability P of exactly 2 correct answers?

n = 8p = 0.6k = 2
P =

Answer key

  1. 1. P = 0.3
  2. 2. P = 0.08333
  3. 3. P = 0.6651
  4. 4. N = 1287
  5. 5. σY = 5.099
  6. 6. P = 0.04129

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