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Use the addition rule P(A or B)

10th grade (Year 11 in England) · 16 questions · Common Core: HSS.CP.B.7 · England: GCSE Higher Probability

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Date

Score/ 16

  1. Question 1

    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)

  2. Question 2

    P(A) = 0.3, P(B) = 0.2 and P(A and B) = 0.1. Find P(A or B).

    Answer

  3. Question 3

    In a class, P(plays sport) = 0.6, P(plays an instrument) = 0.5 and P(sport or instrument) = 1. Find P(sport and instrument).

    Answer

  4. Question 4

    A card is drawn from a standard 52-card deck. Find the probability that it is a number card from 2 to 10 or a diamond. 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) = 0.1. Find P(A or B).

    Answer

  6. Question 6

    In a class, P(plays sport) = 0.4, P(plays an instrument) = 0.2 and P(sport or instrument) = 0.5. Find P(sport and instrument).

    Answer

  7. Question 7

    A card is drawn from a standard 52-card deck. Find the probability that it is a picture card (J, Q, K) or a spade. Give a fraction in simplest form.

    Answer(as a fraction)

  8. Question 8

    P(A) = 0.5, P(B) = 0.5 and P(A and B) = 0.3. Find P(A or B).

    Answer

  9. Question 9

    In a class, P(plays sport) = 0.4, P(plays an instrument) = 0.3 and P(sport or instrument) = 0.6. Find P(sport and instrument).

    Answer

  10. Question 10

    A card is drawn from a standard 52-card deck. Find the probability that it is a picture card (J, Q, K) or a spade. Give a fraction in simplest form.

    Answer(as a fraction)

  11. Question 11

    P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.1. Find P(A or B).

    Answer

  12. Question 12

    In a class, P(plays sport) = 0.7, P(plays an instrument) = 0.5 and P(sport or instrument) = 0.8. 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

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

    Answer

  15. Question 15

    In a class, P(plays sport) = 0.5, P(plays an instrument) = 0.4 and P(sport or instrument) = 0.7. Find P(sport and instrument).

    Answer

  16. Question 16

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

    Answer(as a fraction)

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Answer key: Use the addition rule P(A or B)

  1. 1. 4/13

  2. 2. 0.4

  3. 3. 0.1

  4. 4. 10/13

  5. 5. 0.7

  6. 6. 0.1

  7. 7. 11/26

  8. 8. 0.7

  9. 9. 0.1

  10. 10. 11/26

  11. 11. 0.8

  12. 12. 0.4

  13. 13. 4/13

  14. 14. 0.4

  15. 15. 0.2

  16. 16. 7/13