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Grade 10 conditional probability worksheets

HSS-CP.A.3 Word problems

Printable conditional probability worksheets for grade 10, aligned to Common Core standard HSS-CP.A.3. P(B | A) = P(A and B) ÷ P(A).

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Free, instant, no signup. Choose 5–40 problems, three difficulty levels, and a printable answer key.

Sample problems

  1. In a class of 17 students, 9 play soccer and 7 of those also play tennis. If a student who plays soccer is picked at random, what is the probability they also play tennis? 7/9
  2. In a class of 21 students, 12 own a cat and 5 of those also own a dog. If a student who owns a cat is picked at random, what is the probability they also own a dog? 5/12
  3. In a class of 17 students, 10 own a cat and 2 of those also own a dog. If a student who owns a cat is picked at random, what is the probability they also own a dog? 1/5
  4. In a class of 13 students, 8 play soccer and 5 of those also play tennis. If a student who plays soccer is picked at random, what is the probability they also play tennis? 5/8
  5. In a class of 28 students, 11 own a cat and 3 of those also own a dog. If a student who owns a cat is picked at random, what is the probability they also own a dog? 3/11
  6. In a class of 20 students, 7 take art and 3 of those also take music. If a student who takes art is picked at random, what is the probability they also take music? 3/7
  7. In a class of 18 students, 10 own a cat and 5 of those also own a dog. If a student who owns a cat is picked at random, what is the probability they also own a dog? 1/2
  8. In a class of 25 students, 13 play soccer and 7 of those also play tennis. If a student who plays soccer is picked at random, what is the probability they also play tennis? 7/13

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

In a class of 17 students, 9 play soccer and 7 of those also play tennis. If a student who plays soccer is picked at random, what is the probability they also play tennis? 7/9

  1. "Given they play soccer" shrinks the group to the 9 who do
  2. 7 of those 9 also play tennis: 7/9

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

The wording stays familiar while the numbers change, which is what makes the method stick rather than the answer. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

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