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
xp(x)10.2520.330.154?

The table gives the probability distribution of X, but one probability is missing. Find P(X = 4).

x: 1, 2, 3, 4p(x): 0.25, 0.3, 0.15, ?
P(X = 4) =
2.Easy
xp(x)00.1510.052?30.340.15

The table gives the probability distribution of X, but one probability is missing. Find P(X = 2).

x: 0, 1, 2, 3, 4p(x): 0.15, 0.05, ?, 0.3, 0.15
P(X = 2) =
3.Medium
n = 14k = 3N = ?

In how many ways N can a committee of 3 people be chosen from a group of 14? The order does not matter.

n = 14k = 3
N =
4.Medium
P(at least one six) = ??1?2?3P(six) = 1/6 on each roll

A fair die is rolled 3 times. What is the probability P of getting at least one six?

n = 3
P =
5.Hard
n = 8, p = 0.2: P(X = 2) = ?k012345678

A test has 8 multiple-choice questions. A student who guesses gets each one right with probability 0.2, independently. What is the probability P of exactly 2 correct answers?

n = 8p = 0.2k = 2
P =
6.Hard
n = 10, p = 0.5: P(X = 2) = ?k012345678910

A test has 10 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 = 10p = 0.5k = 2
P =

Answer key

  1. 1. P(X = 4) = 0.3
  2. 2. P(X = 2) = 0.35
  3. 3. N = 364
  4. 4. P = 0.4213
  5. 5. P = 0.2936
  6. 6. P = 0.04395

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