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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1.Easy
sum = 10die 1die 2112345672234567833456789445678910556789101166789101112P = ?

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

2 dice= 10
P =
2.Easy
sum = 6die 1die 2112345672234567833456789445678910556789101166789101112P = ?

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

2 dice= 6
P =
3.Medium
P(at least one six) = ??1?2?3?4?5?6?7P(six) = 1/6 on each roll

A fair die is rolled 7 times. What is the probability P of getting at least one six?

n = 7
P =
4.Medium
n = 6k = 2N = ?

In how many ways N can a committee of 2 people be chosen from a group of 6? The order does not matter.

n = 6k = 2
N =
5.Hard
n = 9, p = 0.5: P(X = 3) = ?k0123456789

A test has 9 multiple-choice questions. A student who guesses gets each one right with probability 0.5, independently. What is the probability P of exactly 3 correct answers?

n = 9p = 0.5k = 3
P =
6.Hard
xp(x)10.2520.2530.340.150.1μ

X has the distribution shown, and Y = −2X + 4. Find the standard deviation σY of Y.

x: 1, 2, 3, 4, 5p(x): 0.25, 0.25, 0.3, 0.1, 0.1Y = −2X + 4
σY =

Answer key

  1. 1. P = 0.08333
  2. 2. P = 0.1389
  3. 3. P = 0.7209
  4. 4. N = 15
  5. 5. P = 0.1641
  6. 6. σY = 2.488

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