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StudyForALearn · Practise · Understand
IGCSE · Cambridge (CIE) · 0580

Probability mixed checkpoint

Sample probability skills and choose your next review.

What you will learn

  • Choose the requirements for your exam tier.
  • Explain each method before choosing an answer.
  • Follow a missed skill to its teaching lesson.

Check your reasoning across the pathway

Core has 5 questions; Extended has 7, including any Extended-only requirements. Work on paper before selecting an answer, then read the feedback. Changing tier starts a fresh attempt. The questions sample taught skills rather than represent the full range of exam questions.

Some questions revisit a lesson's pause check so you can retrieve the method in a mixed sequence. A remembered option alone is weak evidence: explain the reasoning and try the independent or transfer practice without revealing help. Drawings, constructions and written solutions are self-checked; these are not automatically marked exam responses.

Use a missed skill to plan a return

The review plan records first-attempt choices for this session and links the skills you missed to their lessons. Choose one useful review, close the worked answer and solve again from a blank page. Use that lesson's saved review choice to plan a later visit.

This practice check is not saved as an exam grade and does not mark lessons complete. Correct answers to this small sample do not establish mastery. Human teacher review and a full cumulative assessment remain separate work, even when every syllabus section has linked teaching.

Probability checkpoint

Choose your tier

Changing tier starts a fresh attempt. This practice check is not saved as a grade or used to mark lessons complete.

Question 1 of 5 · Core and Extended

P(rain) = 0.35. Find P(no rain).

Put the idea to work

Worked example

Three red and two blue are drawn twice without replacement. Find probability of at least one red.

Show the worked solution
  1. The complement is two blue.
  2. P(BB) = (2/5)(1/4) = 1/10.
  3. Subtract from one to obtain 9/10.

Answer 9/10.

Common mistakes

  • Selecting a remembered option without explaining the method.
  • Treating a sampled checkpoint as a full exam or saved grade.
Recall without your notes

What can you explain now?

What should you do after missing a skill in this check?

Compare with the explanation

Revisit its lesson and solve a fresh written problem without the answer visible.

Use the explanation to repair the method, then test retrieval rather than repeating a memorised answer.

After trying it yourself, choose your next review. This is your self-assessment.

Your review choice appears on Today. Sign in to sync it across devices.

Original StudyForA teaching content · AI-assisted checks · Human teacher review pending.

Number contains 19 sequenced lessons; Algebra and graphs 21; Coordinate geometry 10; Geometry 15; Mensuration 13; Trigonometry 13; Transformations and vectors 11; Probability 7; Statistics 13. All 72 syllabus section entries now link to teaching and staged practice. Seven mixed checkpoints sample skills and suggest review lessons. Nine earlier overviews remain available. Full cumulative assessment and human teacher review remain pending. Written lesson practice, charts and constructions are self-checked, not automatically graded. Checkpoints do not save an exam grade or certify mastery.

Check the official syllabus 2025–2027 Open related practice and resources