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Common Core HSS.CP.A.4 worksheet

High school · 16 questions · Common Core: HSS.CP.A.3, HSS.CP.A.4, HSS.CP.B.6, HSS.CP.A.5 · England: GCSE Higher Probability, A-level Statistics

Name

Date

Score/ 16

  1. Question 1

    P(A) = 0.2, P(B) = 0.4 and P(A and B) = 0.08. Are A and B independent?

    • A. Yes
    • B. No

  2. Question 2

    Club survey: Plays chess: likes puzzles 24, doesn't 18 No chess: likes puzzles 24, doesn't 18 Are "plays chess" and "likes puzzles" independent?

    • A. Yes
    • B. No

  3. Question 3

    Survey: Likes science & is in Club — 22; Likes science & not in Club — 7; Doesn't like science & in Club — 10; neither — 24. Given a student is in the Club, what is the probability they like science? Simplest form.

    Answer(as a fraction)

  4. Question 4

    P(A) = 0.5, P(B) = 0.25 and P(A and B) = 0.125. Are A and B independent?

    • A. Yes
    • B. No

  5. Question 5

    Club survey: Plays chess: likes puzzles 65, doesn't 60 No chess: likes puzzles 60, doesn't 65 Are "plays chess" and "likes puzzles" independent?

    • A. Yes
    • B. No

  6. Question 6

    Survey: Likes science & is in Club — 9; Likes science & not in Club — 17; Doesn't like science & in Club — 25; neither — 14. Given a student is in the Club, what is the probability they like science? Simplest form.

    Answer(as a fraction)

  7. Question 7

    P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.16. Are A and B independent?

    • A. Yes
    • B. No

  8. Question 8

    Club survey: Plays chess: likes puzzles 29, doesn't 60 No chess: likes puzzles 18, doesn't 50 Are "plays chess" and "likes puzzles" independent?

    • A. Yes
    • B. No

  9. Question 9

    Survey: Likes science & is in Club — 10; Likes science & not in Club — 14; Doesn't like science & in Club — 9; neither — 16. Given a student is in the Club, what is the probability they like science? Simplest form.

    Answer(as a fraction)

  10. Question 10

    P(A) = 0.2, P(B) = 0.2 and P(A and B) = 0.04. Are A and B independent?

    • A. Yes
    • B. No

  11. Question 11

    Club survey: Plays chess: likes puzzles 18, doesn't 36 No chess: likes puzzles 36, doesn't 72 Are "plays chess" and "likes puzzles" independent?

    • A. Yes
    • B. No

  12. Question 12

    Survey: Likes science & is in Club — 20; Likes science & not in Club — 15; Doesn't like science & in Club — 20; neither — 18. Given a student is in the Club, what is the probability they like science? Simplest form.

    Answer(as a fraction)

  13. Question 13

    P(A) = 0.3, P(B) = 0.25 and P(A and B) = 0.035. Are A and B independent?

    • A. Yes
    • B. No

  14. Question 14

    Club survey: Plays chess: likes puzzles 24, doesn't 60 No chess: likes puzzles 40, doesn't 100 Are "plays chess" and "likes puzzles" independent?

    • A. Yes
    • B. No

  15. Question 15

    Survey: Likes science & is in Club — 9; Likes science & not in Club — 14; Doesn't like science & in Club — 18; neither — 17. Given a student is in the Club, what is the probability they like science? Simplest form.

    Answer(as a fraction)

  16. Question 16

    P(A) = 0.6, P(B) = 0.2 and P(A and B) = 0.17. Are A and B independent?

    • A. Yes
    • B. No

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Answer key: Common Core HSS.CP.A.4 worksheet

  1. 1. A. Yes

  2. 2. A. Yes

  3. 3. 11/16

  4. 4. A. Yes

  5. 5. B. No

  6. 6. 9/34

  7. 7. B. No

  8. 8. B. No

  9. 9. 10/19

  10. 10. A. Yes

  11. 11. A. Yes

  12. 12. 1/2

  13. 13. B. No

  14. 14. A. Yes

  15. 15. 1/3

  16. 16. B. No

HSS.CP.A.4 Worksheet: Conditional probability and independence | Eurekami