Worksheets · Algebra 2

Conditional probability worksheet

A condition shrinks the group you are choosing from. Once you know the student takes Spanish, the only ones left in the running are the Spanish students, so that count becomes the new denominator.

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Sigma Prep · sigmaprep.io/worksheets

Name

Conditional Probability

Date Period

Find each probability.

  1. In a group of 36 students, 12 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish
  2. In a group of 42 students, 20 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish
  3. In a group of 38 students, 22 take Spanish and, of those, 7 also take art. Find the probability that a student takes art given that they take Spanish
  4. In a group of 19 students, 10 take Spanish and, of those, 3 also take art. Find the probability that a student takes art given that they take Spanish
  5. In a group of 29 students, 10 take Spanish and, of those, 8 also take art. Find the probability that a student takes art given that they take Spanish
  6. In a group of 19 students, 10 take Spanish and, of those, 6 also take art. Find the probability that a student takes art given that they take Spanish
  7. In a group of 33 students, 23 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish
  8. In a group of 36 students, 20 take Spanish and, of those, 11 also take art. Find the probability that a student takes art given that they take Spanish
  9. In a group of 47 students, 20 take Spanish and, of those, 12 also take art. Find the probability that a student takes art given that they take Spanish
  10. In a group of 27 students, 17 take Spanish and, of those, 5 also take art. Find the probability that a student takes art given that they take Spanish
  11. In a group of 28 students, 12 take Spanish and, of those, 7 also take art. Find the probability that a student takes art given that they take Spanish
  12. In a group of 20 students, 13 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish
  13. In a group of 44 students, 24 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish
  14. In a group of 36 students, 19 take Spanish and, of those, 12 also take art. Find the probability that a student takes art given that they take Spanish
  15. In a group of 54 students, 29 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish
  16. In a group of 33 students, 28 take Spanish and, of those, 13 also take art. Find the probability that a student takes art given that they take Spanish
  17. In a group of 43 students, 20 take Spanish and, of those, 14 also take art. Find the probability that a student takes art given that they take Spanish
  18. In a group of 41 students, 26 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish
  19. In a group of 37 students, 18 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish
  20. In a group of 23 students, 10 take Spanish and, of those, 7 also take art. Find the probability that a student takes art given that they take Spanish

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

Sigma Prep · sigmaprep.io/worksheets

Name

Conditional ProbabilityAnswer keyVersion 1

Date Period

Find each probability.

  1. In a group of 36 students, 12 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish56
  2. In a group of 42 students, 20 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish34
  3. In a group of 38 students, 22 take Spanish and, of those, 7 also take art. Find the probability that a student takes art given that they take Spanish722
  4. In a group of 19 students, 10 take Spanish and, of those, 3 also take art. Find the probability that a student takes art given that they take Spanish310
  5. In a group of 29 students, 10 take Spanish and, of those, 8 also take art. Find the probability that a student takes art given that they take Spanish45
  6. In a group of 19 students, 10 take Spanish and, of those, 6 also take art. Find the probability that a student takes art given that they take Spanish35
  7. In a group of 33 students, 23 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish1023
  8. In a group of 36 students, 20 take Spanish and, of those, 11 also take art. Find the probability that a student takes art given that they take Spanish1120
  9. In a group of 47 students, 20 take Spanish and, of those, 12 also take art. Find the probability that a student takes art given that they take Spanish35
  10. In a group of 27 students, 17 take Spanish and, of those, 5 also take art. Find the probability that a student takes art given that they take Spanish517
  11. In a group of 28 students, 12 take Spanish and, of those, 7 also take art. Find the probability that a student takes art given that they take Spanish712
  12. In a group of 20 students, 13 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish1013
  13. In a group of 44 students, 24 take Spanish and, of those, 10 also take art. Find the probability that a student takes art given that they take Spanish512
  14. In a group of 36 students, 19 take Spanish and, of those, 12 also take art. Find the probability that a student takes art given that they take Spanish1219
  15. In a group of 54 students, 29 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish1529
  16. In a group of 33 students, 28 take Spanish and, of those, 13 also take art. Find the probability that a student takes art given that they take Spanish1328
  17. In a group of 43 students, 20 take Spanish and, of those, 14 also take art. Find the probability that a student takes art given that they take Spanish710
  18. In a group of 41 students, 26 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish1526
  19. In a group of 37 students, 18 take Spanish and, of those, 15 also take art. Find the probability that a student takes art given that they take Spanish56
  20. In a group of 23 students, 10 take Spanish and, of those, 7 also take art. Find the probability that a student takes art given that they take Spanish710

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

How to do these

Of 20 students taking Spanish, 8 also take art. Find the probability a student takes art given they take Spanish

  1. The condition limits us to the 20 Spanish students.
  2. 8 of those take art.

The answer is 25.

Where students go wrong

Dividing by the whole group instead of the group the condition names. Given that they take Spanish, the denominator is the number of Spanish students, not the total.

Also called probability of A given B, dependent probability or two-way table probability.

Questions about these worksheets

Yes. Every conditional probability 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.

Algebra 2 is usually taken around 10th or 11th 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 conditional probability 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.

Dividing by the whole group instead of the group the condition names. Given that they take Spanish, the denominator is the number of Spanish students, not the total.