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HomeCIE IGCSE MathematicsProbability: Basic probability — single events, sample space, equally likely outcomes
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Probability: Basic probability — single events, sample space, equally likely outcomes
Practice Questions

20 CIE IGCSE Mathematics questions on Probability: Basic probability — single events, sample space, equally likely outcomes, each with instant feedback and a full examiner-style mark scheme.

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Question 1 · 1 mark · Difficulty 3/3

A bag contains 5 red counters, 3 blue counters, and 2 green counters. A counter is chosen at random. What is the probability that the counter is NOT green?

  1. 1/5
  2. 2/10
  3. 4/5
  4. 3/5
Show answer & explanation
✓ Answer: C4/5
The total number of counters is 10. The number of non-green counters is 5 + 3 = 8. P(not green) = 8/10 = 4/5. Option A (1/5) incorrectly gives the probability of choosing a green counter as a fraction without simplifying correctly. Option B (2/10) is the probability of choosing green, not non-green. Option D (3/5) corresponds to 6/10, which has no direct basis here and likely reflects confusion between the number of blue or red counters alone.
Question 2 · 1 mark · Difficulty 3/3

A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a King or a Heart?

  1. 4/52
  2. 16/52
  3. 17/52
  4. 13/52
Show answer & explanation
✓ Answer: B16/52
There are 4 Kings and 13 Hearts in a standard deck. The King of Hearts is counted in both groups, so by the addition rule: P(King or Heart) = (4 + 13 − 1)/52 = 16/52 = 4/13. Option A (17/52) is the result of adding 4 and 13 without subtracting the overlap (the King of Hearts), a classic inclusion-exclusion error. Option C (4/52) only accounts for the Kings. Option D (13/52) only accounts for the Hearts.
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CIE IGCSE Mathematics: Probability: Basic probability — single events, sample space, equally likely outcomes FAQ

How many CIE IGCSE Mathematics questions on Probability: Basic probability — single events, sample space, equally likely outcomes are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Probability: Basic probability — single events, sample space, equally likely outcomes for CIE IGCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Probability: Basic probability — single events, sample space, equally likely outcomes practice with other Mathematics topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Probability: Basic probability — single events, sample space, equally likely outcomes questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Probability: Basic probability — single events, sample space, equally likely outcomes typically tested on CIE IGCSE Mathematics papers?
Probability: Basic probability — single events, sample space, equally likely outcomes appears across multiple question types on real CIE IGCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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