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HomeCIE IGCSE MathematicsProbability: Conditional probability
CIE · IGCSE · Mathematics

Probability: Conditional probability
Practice Questions

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

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Try 2 sample questions on Probability: Conditional probability

Question 1 · 1 mark · Difficulty 3/3

A bag contains 5 red and 3 blue counters. Two counters are drawn without replacement. What is the probability that the second counter is red, given that the first counter drawn was red?

  1. 5/7
  2. 5/8
  3. 4/8
  4. 4/7
Show answer & explanation
✓ Answer: D4/7
After one red counter is removed, 4 red counters remain out of a total of 7 counters, giving P(second red | first red) = 4/7. Option A uses the original probability before any counter is removed. Option C incorrectly keeps the total at 7 but uses 5 red counters. Option D incorrectly reduces both numerator and denominator but keeps the wrong denominator of 8.
Question 2 · 1 mark · Difficulty 3/3

Given that P(B | A) = 0.4 and P(A) = 0.5, calculate P(A ∩ B).

  1. 0.2
  2. 0.9
  3. 0.1
  4. 0.8
Show answer & explanation
✓ Answer: A0.2
Using the conditional probability formula: P(A ∩ B) = P(B | A) × P(A) = 0.4 × 0.5 = 0.2. Option A incorrectly adds the two probabilities instead of multiplying. Option B incorrectly doubles P(A) using 0.4 as a multiplier on 0.4 × 0.5 doubled. Option D halves the correct answer, possibly from dividing instead of multiplying.
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CIE IGCSE Mathematics: Probability: Conditional probability FAQ

How many CIE IGCSE Mathematics questions on Probability: Conditional probability are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Probability: Conditional probability 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: Conditional 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: Conditional 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: Conditional probability typically tested on CIE IGCSE Mathematics papers?
Probability: Conditional 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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