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 ≥ 6die 1die 2112345672234567833456789445678910556789101166789101112P = ?

Two fair dice are rolled. What is the probability P that the sum is at least 6?

2 dice≥ 6
P =
2.Easy
red: 5blue: 3green: 5

A bag holds 5 red, 3 blue and 5 green balls. You draw one at random. What is the probability P that it is not red?

5 / 3 / 5
P =
3.Medium
red: 4blue: 6

A bag holds 4 red and 6 blue balls. You draw two balls without putting the first one back. What is the probability P that both are red?

4 / 6
P =
4.Medium
xp(x)00.3520.140.3560.2μ = 2.8

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

x: 0, 2, 4, 6p(x): 0.35, 0.1, 0.35, 0.2
σ =
5.Hard
xp(x)100.35200.15300.25400.25μ

X has the distribution shown, and Y = 10X + 1. Find the standard deviation σY of Y.

x: 10, 20, 30, 40p(x): 0.35, 0.15, 0.25, 0.25Y = 10X + 1
σY =
6.Hard
n = 11, p = 0.6: P(X = 1) = ?k01234567891011

A test has 11 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 = 11p = 0.6k = 1
P =

Answer key

  1. 1. P = 0.7222
  2. 2. P = 0.6154
  3. 3. P = 0.1333
  4. 4. σ = 2.315
  5. 5. σY = 120
  6. 6. P = 0.0006921

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