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Grade 8 Two Stages in Words Worksheets

Find the probability that two things both happen, with and without replacement.

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Probability · Grade 8

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SkillEach skill is a different kind of question, with its own levels.
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Grade 8 · 3 pages · A4

Probability Practice

Grade 8 • Two Stages in Words • Taken and put back
Name:Date:

The counter goes back before the second one is taken. Write the probability as a fraction in its simplest form.

  1. 1) A bag holds 5 brown counters and 3 blue counters. A counter is taken and put back, and another is taken. What is the probability that both are brown?
    Answer:
  1. 2) A bag holds 4 pink counters and 4 orange counters. A counter is taken and put back, and another is taken. What is the probability that both are pink?
    Answer:
  1. 3) A bag holds 7 red counters and 6 purple counters. A counter is taken and put back, and another is taken. What is the probability that both are red?
    Answer:
  1. 4) A bag holds 3 black counters and 8 blue counters. A counter is taken and put back, and another is taken. What is the probability that both are black?
    Answer:
  1. 5) A bag holds 8 blue counters and 3 green counters. A counter is taken and put back, and another is taken. What is the probability that both are blue?
    Answer:
  1. 6) A bag holds 8 pink counters and 6 orange counters. A counter is taken and put back, and another is taken. What is the probability that both are pink?
    Answer:
  1. 7) A bag holds 7 purple counters and 8 green counters. A counter is taken and put back, and another is taken. What is the probability that both are purple?
    Answer:
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Page 1 of 3

The counter goes back before the second one is taken. Write the probability as a fraction in its simplest form. (continued)

  1. 8) A bag holds 3 blue counters and 7 purple counters. A counter is taken and put back, and another is taken. What is the probability that both are blue?
    Answer:
  1. 9) A bag holds 3 yellow counters and 6 purple counters. A counter is taken and put back, and another is taken. What is the probability that both are yellow?
    Answer:
  1. 10) A bag holds 4 purple counters and 8 blue counters. A counter is taken and put back, and another is taken. What is the probability that both are purple?
    Answer:
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Page 2 of 3

Answer Key

  1. 1. 25/64
  2. 2. 1/4
  3. 3. 49/169
  4. 4. 9/121
  1. 5. 64/121
  2. 6. 16/49
  3. 7. 49/225
  4. 8. 9/100
  1. 9. 1/9
  2. 10. 1/9
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Page 3 of 3

What each level generates

Grade 8 two stages in words — the exact skill behind each difficulty setting, straight from the generator.

  1. Level 1Spun twice
  2. Level 2Taken and put back
  3. Level 3Without replacement

Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →

More Grade 8 probability skills

Each one generates a different kind of question, with its own three levels and answer key.

Frequently asked questions

▸Does Common Core cover probability at Grade 8?

Not as probability. The Grade 8 Statistics and Probability standards cover scatter plots, lines of best fit and two-way tables. These sheets carry the Grade 7 probability work forward, in step with the Australian Year 8 and Ontario Grade 8 chance strands and England's Key Stage 3.

▸How do you find a missing probability?

Subtract the ones you have from one, since every possible outcome together must total one. On the third level the remainder is then shared equally between two outcomes, so there is a halving after the subtraction.

▸What does 'without replacement' change?

Both parts of the second fraction. Taking a red counter from three red and five blue leaves two red out of seven, so the second probability is 2/7 and not 3/8. Multiplying gives 3/28.

▸Are there tree diagrams to fill in?

No — every question is set out in a sentence and answered with a single probability. A tree is a good way to organise the work and your child can draw one on scrap paper, but nothing on the sheet requires it.

▸Is this worksheet generator free?

Yes — free, no sign-up, and no watermark. The link in the address bar reprints the identical sheet whenever you want it.