AC9M4P01 • Homework

Likelihood, Outcomes and Independent or Dependent Events worksheet

Use this printable homework sheet for written working, application and reflection alongside the online learning activities.

Open practice

Eight written and practical homework tasks

Keep actual records. Ask an adult to review the evidence; a completion tick alone is not mastery.

  1. A bag has 4 red, 3 blue and 1 yellow identical counter. List possible colour outcomes, order their chances and explain whether red is certain.

    Working: ____________________________________________________

  2. Draw two bags: one with 3 red and 3 white balls and one with 6 red and 6 white. Compare the chance of red and explain why counting only red balls is misleading.

    Working: ____________________________________________________

  3. A fair coin has shown tails five times. Write a two-sentence response to a learner who says heads must come next.

    Working: ____________________________________________________

  4. Use 3 red and 1 blue counter. Draw without looking and keep it out. Draw the remaining contents and explain what replacement would restore.

    Working: ____________________________________________________

  5. A club trip is cancelled when a storm arrives. Write an example showing how a weather prediction affects the trip plan, without treating a forecast as certainty.

    Working: ____________________________________________________

  6. Make a suit-colour table for standard playing cards. Give one pair of events that cannot happen together on one card and one pair that can.

    Working: ____________________________________________________

  7. Write a sentence with two plausible next words. Add a first-letter clue that favours one. Explain why an AI suggestion may still be wrong.

    Working: ____________________________________________________

  8. Create a fair six-equal-sector spinner using only A, B, C so A is most likely and B, C are equally likely but possible. Explain your design.

    Working: ____________________________________________________

Worked answers and adult review guide

  1. Outcomes: red, blue, yellow. Least to most: yellow, blue, red. Red is most likely but not certain because other colours remain.

  2. Both bags are balanced between red and white, so chances are equal. Doubling both colours leaves the same balance; the total contents matter.

  3. Heads and tails remain equally likely on the next toss. The earlier outcomes do not change the fair coin; no outcome is owed.

  4. If red is drawn, 2 red and 1 blue remain; if blue, 3 red remain. Returning the drawn counter restores 3 red and 1 blue. Inspect actual recorded draw and correct diagram.

  5. Example: storm likely, so prepare an indoor backup and follow cancellation advice. The event depends on weather under the rule; likely is not guaranteed.

  6. Hearts/diamonds: red; clubs/spades: black. Red and club cannot coincide; red and heart can. Accept other correct pairs with explanations.

  7. Example: Wear your ... coat/shoes; c favours coat. Context ranks possibilities but cannot guarantee the writer’s intention. Check sentence fit and distinguishing letter.

  8. Label four sectors A, one B, one C. All sectors equal; A has more sectors, B and C each have one. Inspect the actual six-sector drawing and labels. Alternative valid counts must total six and satisfy the conditions.