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Probability
Practice Questions

240 CIE IGCSE Mathematics questions on Probability, each with instant feedback and a full examiner-style mark scheme.

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✨ Revision guide includes key terms, worked examples and exam technique for Probability.

Try 2 sample questions on Probability

Question 1 · 1 mark · Difficulty 1/3

A discrete random variable X has P(X = 1) = 0.2, P(X = 2) = 0.5, and P(X = 3) = k. What is the value of k?

  1. 0.3
  2. 0.5
  3. 0.2
  4. 0.7
Show answer & explanation
✓ Answer: A — 0.3
For a valid probability distribution, all probabilities must sum to 1. So k = 1 − 0.2 − 0.5 = 0.3. Option D adds only one probability (1 − 0.3 = 0.7), incorrectly. Option A copies P(X = 1). Option B copies P(X = 2).
Question 2 · 1 mark · Difficulty 1/3

A bag contains 5 red balls and 3 blue balls. One ball is drawn at random. What is the probability that it is red?

  1. 3/5
  2. 3/8
  3. 5/8
  4. 5/3
Show answer & explanation
✓ Answer: C — 5/8
Award 1 mark. 5 of the 8 balls are red, so P(red) = 5/8. 3/8 is P(blue), 3/5 compares blue with red instead of with the total, and 5/3 is more than 1, so it cannot be a probability.
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20 questions · 25 min · free

CIE IGCSE Mathematics: Probability FAQ

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 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 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 typically tested on CIE IGCSE Mathematics papers?
Probability 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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