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Common Core HSS.CP.B.7 worksheet

High school · 16 questions · Common Core: HSS.CP.A.2, HSS.CP.B.7 · England: GCSE Foundation Probability, GCSE Higher Probability

Name

Date

Score/ 16

  1. Question 1

    In a class of 39, 19 play guitar, 20 play piano and 8 play both. One student is chosen at random. What is the probability they play guitar or piano (or both)? Simplest form.

    Answer(as a fraction)

  2. Question 2

    In a class, P(plays sport) = 0.7, P(plays an instrument) = 0.4 and P(sport or instrument) = 1. Find P(sport and instrument).

    Answer

  3. Question 3

    A card is drawn from a standard 52-card deck. Find the probability that it is a king or a heart. Give a fraction in simplest form.

    Answer(as a fraction)

  4. Question 4

    A bag has 3 red and 7 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.

    Answer(as a fraction)

  5. Question 5

    P(A) = 0.4, P(B) = 0.4 and P(A and B) = 0.2. Find P(A or B).

    Answer

  6. Question 6

    In a class of 32, 12 play guitar, 21 play piano and 9 play both. One student is chosen at random. What is the probability they play guitar or piano (or both)? Simplest form.

    Answer(as a fraction)

  7. Question 7

    In a class, P(plays sport) = 0.5, P(plays an instrument) = 0.2 and P(sport or instrument) = 0.6. Find P(sport and instrument).

    Answer

  8. Question 8

    A card is drawn from a standard 52-card deck. Find the probability that it is a red card or a king. Give a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    A bag has 7 red and 7 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.

    Answer(as a fraction)

  10. Question 10

    P(A) = 0.3, P(B) = 0.3 and P(A and B) = 0.2. Find P(A or B).

    Answer

  11. Question 11

    In a class of 30, 13 play guitar, 20 play piano and 5 play both. One student is chosen at random. What is the probability they play both? Simplest form.

    Answer(as a fraction)

  12. Question 12

    In a class, P(plays sport) = 0.4, P(plays an instrument) = 0.3 and P(sport or instrument) = 0.5. Find P(sport and instrument).

    Answer

  13. Question 13

    A card is drawn from a standard 52-card deck. Find the probability that it is a king or a heart. Give a fraction in simplest form.

    Answer(as a fraction)

  14. Question 14

    A bag has 6 red and 3 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    P(A) = 0.6, P(B) = 0.3 and P(A and B) = 0.1. Find P(A or B).

    Answer

  16. Question 16

    In a class of 30, 24 play guitar, 12 play piano and 10 play both. One student is chosen at random. What is the probability they play guitar or piano (or both)? Simplest form.

    Answer(as a fraction)

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Answer key: Common Core HSS.CP.B.7 worksheet

  1. 1. 31/39

  2. 2. 0.1

  3. 3. 4/13

  4. 4. 9/100

  5. 5. 0.6

  6. 6. 3/4

  7. 7. 0.1

  8. 8. 7/13

  9. 9. 1/4

  10. 10. 0.4

  11. 11. 1/6

  12. 12. 0.2

  13. 13. 4/13

  14. 14. 5/12

  15. 15. 0.8

  16. 16. 13/15

HSS.CP.B.7 Worksheet: Tree diagrams and Venn diagrams | Eurekami