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Use tree diagrams for picks without replacement

10th grade (Year 11 in England) · 16 questions · Common Core: HSS.CP.B.8, HSS.CP.A.2 · England: GCSE Higher Probability

Name

Date

Score/ 16

  1. Question 1

    A box has 2 vanilla and 6 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.

    Answer(as a fraction)

  2. Question 2

    A bag has 5 red and 7 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.

    Answer(as a fraction)

  3. Question 3

    A playlist has 8 pop songs and 8 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.

    Answer(as a fraction)

  4. Question 4

    A box has 2 vanilla and 4 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.

    Answer(as a fraction)

  5. Question 5

    A bag has 2 red and 4 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.

    Answer(as a fraction)

  6. Question 6

    A playlist has 6 pop songs and 7 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.

    Answer(as a fraction)

  7. Question 7

    A box has 5 vanilla and 4 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.

    Answer(as a fraction)

  8. Question 8

    A bag has 8 red and 2 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    A playlist has 6 pop songs and 4 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.

    Answer(as a fraction)

  10. Question 10

    A box has 8 vanilla and 7 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.

    Answer(as a fraction)

  11. Question 11

    A bag has 6 red and 3 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.

    Answer(as a fraction)

  12. Question 12

    A playlist has 5 pop songs and 8 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.

    Answer(as a fraction)

  13. Question 13

    A box has 6 vanilla and 5 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.

    Answer(as a fraction)

  14. Question 14

    A bag has 4 red and 7 blue counters. Two are taken out without replacement. Find P(both red) as a fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    A playlist has 5 pop songs and 3 rock songs. Two different songs are picked at random. Find P(one of each type) as a fraction in simplest form.

    Answer(as a fraction)

  16. Question 16

    A box has 2 vanilla and 6 chocolate biscuits. Two are eaten at random. Find P(at least one chocolate) as a fraction in simplest form.

    Answer(as a fraction)

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  1. 27/28
  2. 5/33
  3. 8/15
  4. 14/15
  5. 1/15
  6. 7/13
  7. 13/18
  8. 28/45
  9. 8/15
  10. 11/15
  11. 5/12
  12. 20/39
  13. 8/11
  14. 6/55
  15. 15/28
  16. 27/28