Worksheets · Statistics

Statistics mutually exclusive events worksheet

Or means adding. If the two can happen together you have counted the overlap twice, so you take it off once; if they cannot, there is no overlap to worry about.

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Name

Mutually Exclusive Events

Date Period

Find each probability.

  1. A 12-sided die is rolled. Find P(even or less than 4).
  2. A 12-sided die is rolled. Find P(less than 8 or prime).
  3. A 12-sided die is rolled. Find P(greater than 6 or less than 3).
  4. A 12-sided die is rolled. Find P(greater than 4 or odd).
  5. A 10-sided die is rolled. Find P(prime or a multiple of 3).
  6. A 10-sided die is rolled. Find P(even or less than 3).
  7. A 12-sided die is rolled. Find P(greater than 3 or a multiple of 3).
  8. A 10-sided die is rolled. Find P(less than 3 or greater than 5).
  9. A 12-sided die is rolled. Find P(less than 4 or greater than 6).
  10. A 12-sided die is rolled. Find P(a multiple of 3 or greater than 3).
  11. A 12-sided die is rolled. Find P(greater than 5 or odd).
  12. A 10-sided die is rolled. Find P(even or greater than 5).
  13. A 12-sided die is rolled. Find P(prime or less than 8).
  14. A 12-sided die is rolled. Find P(less than 3 or greater than 3).
  15. A 12-sided die is rolled. Find P(less than 8 or greater than 8).
  16. A 12-sided die is rolled. Find P(greater than 8 or less than 6).
  17. A 10-sided die is rolled. Find P(less than 8 or a multiple of 3).
  18. A 10-sided die is rolled. Find P(odd or less than 3).
  19. A 12-sided die is rolled. Find P(odd or less than 6).
  20. A 12-sided die is rolled. Find P(prime or a multiple of 3).

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mutually Exclusive EventsAnswer keyVersion 1

Date Period

Find each probability.

  1. A 12-sided die is rolled. Find P(even or less than 4).23
  2. A 12-sided die is rolled. Find P(less than 8 or prime).23
  3. A 12-sided die is rolled. Find P(greater than 6 or less than 3).23
  4. A 12-sided die is rolled. Find P(greater than 4 or odd).56
  5. A 10-sided die is rolled. Find P(prime or a multiple of 3).35
  6. A 10-sided die is rolled. Find P(even or less than 3).35
  7. A 12-sided die is rolled. Find P(greater than 3 or a multiple of 3).56
  8. A 10-sided die is rolled. Find P(less than 3 or greater than 5).710
  9. A 12-sided die is rolled. Find P(less than 4 or greater than 6).34
  10. A 12-sided die is rolled. Find P(a multiple of 3 or greater than 3).56
  11. A 12-sided die is rolled. Find P(greater than 5 or odd).56
  12. A 10-sided die is rolled. Find P(even or greater than 5).710
  13. A 12-sided die is rolled. Find P(prime or less than 8).23
  14. A 12-sided die is rolled. Find P(less than 3 or greater than 3).1112
  15. A 12-sided die is rolled. Find P(less than 8 or greater than 8).1112
  16. A 12-sided die is rolled. Find P(greater than 8 or less than 6).34
  17. A 10-sided die is rolled. Find P(less than 8 or a multiple of 3).45
  18. A 10-sided die is rolled. Find P(odd or less than 3).35
  19. A 12-sided die is rolled. Find P(odd or less than 6).23
  20. A 12-sided die is rolled. Find P(prime or a multiple of 3).23

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

P(A)=12, P(B)=13, no overlap

  1. Or means add them.
  2. A half plus a third.
  3. That is five sixths.

The answer is 56.

Where students go wrong

Adding without taking the overlap off. If both can happen at once, straight addition counts that case twice and the answer can even come out above 1, which is a signal something has gone wrong.

Also called probability of A or B, addition rule or overlapping events.

Questions about these worksheets

Yes. Every mutually exclusive events sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Statistics is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the mutually exclusive events questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Adding without taking the overlap off. If both can happen at once, straight addition counts that case twice and the answer can even come out above 1, which is a signal something has gone wrong.