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With and without replacement

Compare two-step probabilities with and without replacement, adjusting the second-stage branches of a tree diagram when items are not returned.

⏱ 20 min❓ 9 questions

What you'll be able to do

  • ✔I can explain how removing an item changes the probabilities for the second draw
  • ✔I can draw and use tree diagrams for experiments with and without replacement
  • ✔I can solve real problems such as raffles and card draws where items are not replaced

How this works

  1. 1Read the short explanations first — they teach you what you need before each question.
  2. 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
  3. 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.

What's inside

9 questions and 1 quick teaching card, including:

  • 🔘Multiple choice — Tap the answer you think is best, then check it.
  • ✏️Fill in the blank — Type the missing word to complete the sentence.

👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.

Sign in and subscribe to unlock the full lesson and save your progress.

Curriculum: AC9M9P01