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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

Name

Date

Score/ 16

  1. Question 1

    In a class, P(plays sport) = 0.7, P(plays an instrument) = 0.5 and P(sport or instrument) = 1.1. Find P(sport and instrument).

    Answer

  2. Question 2

    P(A) = 0.3, P(B) = 0.5 and P(A and B) = 0.2. Find P(A or B).

    Answer

  3. Question 3

    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)

  4. Question 4

    In a class, P(plays sport) = 0.7, P(plays an instrument) = 0.4 and P(sport or instrument) = 0.8. Find P(sport and instrument).

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    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)

  7. Question 7

    In a class, P(plays sport) = 0.6, P(plays an instrument) = 0.3 and P(sport or instrument) = 0.7. Find P(sport and instrument).

    Answer

  8. Question 8

    P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.2. Find P(A or B).

    Answer

  9. Question 9

    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)

  10. Question 10

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

    Answer

  11. Question 11

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

    Answer

  12. Question 12

    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)

  13. Question 13

    In a class, P(plays sport) = 0.7, P(plays an instrument) = 0.2 and P(sport or instrument) = 0.8. Find P(sport and instrument).

    Answer

  14. Question 14

    P(A) = 0.4, P(B) = 0.2 and P(A and B) = 0.1. Find P(A or B).

    Answer

  15. Question 15

    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)

  16. Question 16

    In a class, P(plays sport) = 0.3, P(plays an instrument) = 0.2 and P(sport or instrument) = 0.4. Find P(sport and instrument).

    Answer

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  1. 0.1
  2. 0.6
  3. 7/13
  4. 0.3
  5. 0.9
  6. 11/26
  7. 0.2
  8. 0.7
  9. 11/26
  10. 0.2
  11. 0.6
  12. 11/26
  13. 0.1
  14. 0.5
  15. 7/13
  16. 0.1