ReasoningAges 16-18

Conditional probability tables

Calculate conditional probability from subgroup counts and express the result as a simplified fraction. Review suitability for your learners before teaching.

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Age band:Ages 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Conditional probability tables

Take your time. Show your thinking.

1. In a club, 16 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
16 s · 7 · Conditional probability ta…
2. In a club, 25 students play chess, and 15 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
25 s · 15 · Conditional probability ta…
3. In a club, 17 students play chess, and 12 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
17 s · 12 · Conditional probability ta…
4. In a club, 19 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
19 s · 7 · Conditional probability ta…
5. In a club, 17 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
17 s · 5 · Conditional probability ta…
6. In a club, 18 students play chess, and 4 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
18 s · 4 · Conditional probability ta…
7. In a club, 13 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
13 s · 9 · Conditional probability ta…
8. In a club, 9 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
9 s · 5 · Conditional probability ta…
9. In a club, 25 students play chess, and 14 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
25 s · 14 · Conditional probability ta…
10. In a club, 17 students play chess, and 2 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
17 s · 2 · Conditional probability ta…
11. In a club, 18 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
18 s · 9 · Conditional probability ta…
12. In a club, 13 students play chess, and 8 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
13 s · 8 · Conditional probability ta…

12 questions · Seed 45 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Conditional probability tables

Answers and reasoning. Review before teaching.

1. In a club, 16 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
7/16
Out of 16 chess players, 7 play an instrument. Simplifying 7/16 by dividing by 1 gives 7/16.
2. In a club, 25 students play chess, and 15 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
3/5
Out of 25 chess players, 15 play an instrument. Simplifying 15/25 by dividing by 5 gives 3/5.
3. In a club, 17 students play chess, and 12 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
12/17
Out of 17 chess players, 12 play an instrument. Simplifying 12/17 by dividing by 1 gives 12/17.
4. In a club, 19 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
7/19
Out of 19 chess players, 7 play an instrument. Simplifying 7/19 by dividing by 1 gives 7/19.
5. In a club, 17 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
5/17
Out of 17 chess players, 5 play an instrument. Simplifying 5/17 by dividing by 1 gives 5/17.
6. In a club, 18 students play chess, and 4 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
2/9
Out of 18 chess players, 4 play an instrument. Simplifying 4/18 by dividing by 2 gives 2/9.
7. In a club, 13 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
9/13
Out of 13 chess players, 9 play an instrument. Simplifying 9/13 by dividing by 1 gives 9/13.
8. In a club, 9 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
5/9
Out of 9 chess players, 5 play an instrument. Simplifying 5/9 by dividing by 1 gives 5/9.
9. In a club, 25 students play chess, and 14 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
14/25
Out of 25 chess players, 14 play an instrument. Simplifying 14/25 by dividing by 1 gives 14/25.
10. In a club, 17 students play chess, and 2 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
2/17
Out of 17 chess players, 2 play an instrument. Simplifying 2/17 by dividing by 1 gives 2/17.
11. In a club, 18 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
1/2
Out of 18 chess players, 9 play an instrument. Simplifying 9/18 by dividing by 9 gives 1/2.
12. In a club, 13 students play chess, and 8 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
8/13
Out of 13 chess players, 8 play an instrument. Simplifying 8/13 by dividing by 1 gives 8/13.

12 questions · Seed 45 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Conditional probability tables

Take your time. Show your thinking.

1. In a club, 16 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
16 s · 7 · Conditional probability ta…
2. In a club, 25 students play chess, and 15 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
25 s · 15 · Conditional probability ta…
3. In a club, 17 students play chess, and 12 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
17 s · 12 · Conditional probability ta…
4. In a club, 19 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
19 s · 7 · Conditional probability ta…
5. In a club, 17 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
17 s · 5 · Conditional probability ta…
6. In a club, 18 students play chess, and 4 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
18 s · 4 · Conditional probability ta…
7. In a club, 13 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
13 s · 9 · Conditional probability ta…
8. In a club, 9 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
9 s · 5 · Conditional probability ta…
9. In a club, 25 students play chess, and 14 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
25 s · 14 · Conditional probability ta…
10. In a club, 17 students play chess, and 2 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
17 s · 2 · Conditional probability ta…
11. In a club, 18 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
18 s · 9 · Conditional probability ta…
12. In a club, 13 students play chess, and 8 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
13 s · 8 · Conditional probability ta…

12 questions · Seed 45 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Conditional probability tables

Answers and reasoning. Review before teaching.

1. In a club, 16 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
7/16
Out of 16 chess players, 7 play an instrument. Simplifying 7/16 by dividing by 1 gives 7/16.
2. In a club, 25 students play chess, and 15 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
3/5
Out of 25 chess players, 15 play an instrument. Simplifying 15/25 by dividing by 5 gives 3/5.
3. In a club, 17 students play chess, and 12 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
12/17
Out of 17 chess players, 12 play an instrument. Simplifying 12/17 by dividing by 1 gives 12/17.
4. In a club, 19 students play chess, and 7 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
7/19
Out of 19 chess players, 7 play an instrument. Simplifying 7/19 by dividing by 1 gives 7/19.
5. In a club, 17 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
5/17
Out of 17 chess players, 5 play an instrument. Simplifying 5/17 by dividing by 1 gives 5/17.
6. In a club, 18 students play chess, and 4 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
2/9
Out of 18 chess players, 4 play an instrument. Simplifying 4/18 by dividing by 2 gives 2/9.
7. In a club, 13 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
9/13
Out of 13 chess players, 9 play an instrument. Simplifying 9/13 by dividing by 1 gives 9/13.
8. In a club, 9 students play chess, and 5 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
5/9
Out of 9 chess players, 5 play an instrument. Simplifying 5/9 by dividing by 1 gives 5/9.
9. In a club, 25 students play chess, and 14 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
14/25
Out of 25 chess players, 14 play an instrument. Simplifying 14/25 by dividing by 1 gives 14/25.
10. In a club, 17 students play chess, and 2 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
2/17
Out of 17 chess players, 2 play an instrument. Simplifying 2/17 by dividing by 1 gives 2/17.
11. In a club, 18 students play chess, and 9 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
1/2
Out of 18 chess players, 9 play an instrument. Simplifying 9/18 by dividing by 9 gives 1/2.
12. In a club, 13 students play chess, and 8 of those chess players also play a musical instrument. Given that a student chosen at random plays chess, what is the conditional probability that they also play a musical instrument, as a simplified fraction?
8/13
Out of 13 chess players, 8 play an instrument. Simplifying 8/13 by dividing by 1 gives 8/13.

12 questions · Seed 45 · Age guidance, not curriculum certification