← Senior Mathematics Studio

LEARN · EXPLAIN · REVISE

P(A)=k/(k+2). Find P(Aᶜ).

Read the idea, work independently, then explain what changed.

TOPIC 01

Probability: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

What you will be able to explain

  • Connect the chapter skills without relying on the order of the exercises.

Try it. Leave your reasoning visible.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

P(A)=k/(k+2). Find P(Aᶜ).

k=10k=10
  • Use the domain, units and sampling assumptions stated in the question.
Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1
Describe the sample space and event sets, then count or apply a probability identity.
Hint 2
An event and its complement partition the sample space.
Worked solution
  1. Describe the sample space and event sets, then count or apply a probability identity.

  2. Calculate or simplify this relation.

    P(Ac)=1−10/12=2/12P(A^c)=1-10/12=2/12
  3. The complement is relative to the stated sample space.

The requested value is 0.16666667.

Checks and common pitfalls: The complement is relative to the stated sample space.

Think first. Reveal a hint when the class is ready.

Focus on one question

Teacher preparation and assessment

Question sequence

  • Ask students to name the relevant condition before calculating.

Board plan

  • Compare valid methods and annotate their conditions.

Anticipated thinking

  • A correct final value may still hide a missing assumption.

Assessment checklist

  • Check the method, conditions, reasoning and interpretation separately.

No sign-in. Work stays in this browser. Export before clearing browser data. Written reasoning is assessed with a checklist.

Curriculum and source notes ↗