# 9709 P5 Probability Topic Questions

> CIE IAL 9709 P5: every Probability topic question from 49 papers (2020–2026), grouped by syllabus point. 199 questions, 541 marks, with direct links into…

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CIE IAL · Mathematics · 9709 P5 · A Level

Every 9709 P5 Probability topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

- 9709 P5
- 4 subtopics
- 199 topic questions
- 49 papers
- 541 tagged marks
- [Back to Probability](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**use addition and multiplication of probabilities, as appropriate, in… is the most frequently assessed subtopic in Probability, with 100 topic questions and 253 marks across 44 papers.** calculate and use conditional probabilities in simple cases follows with 69 topic questions and 201 marks. The topic contains 4 subtopics, 199 topic questions and 541 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

## Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

### Questions by subtopic

question items

- [• use addition and multiplication of probabilities, as appropriate, in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/use-addition-and-multiplication-of-probabilities-as-appropriate-in-simple-cases/) (44 papers) — 100 · 40.0%
- [• calculate and use conditional probabilities in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/calculate-and-use-conditional-probabilities-in-simple-cases/) (46 papers) — 69 · 27.6%
- [• evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events, or by calculation using permutations or combinations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/evaluate-probabilities-in-simple-cases-by-means-of-enumeration-of-equiprobable/) (43 papers) — 65 · 26.0%
- [• understand the meaning of exclusive and independent events, including determination of whether events $A$ and $B$ are independent by comparing the values of $\mathrm{P}(A\cap B)$ and $\mathrm{P}(A)\times\mathrm{P}(B)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/understand-the-meaning-of-exclusive-and-independent-events-including-determination-of/) (16 papers) — 16 · 6.4%

### Marks by subtopic

marks

- [• use addition and multiplication of probabilities, as appropriate, in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/use-addition-and-multiplication-of-probabilities-as-appropriate-in-simple-cases/) (44 papers) — 253 · 37.2%
- [• calculate and use conditional probabilities in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/calculate-and-use-conditional-probabilities-in-simple-cases/) (46 papers) — 201 · 29.6%
- [• evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events, or by calculation using permutations or combinations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/evaluate-probabilities-in-simple-cases-by-means-of-enumeration-of-equiprobable/) (43 papers) — 192 · 28.2%
- [• understand the meaning of exclusive and independent events, including determination of whether events $A$ and $B$ are independent by comparing the values of $\mathrm{P}(A\cap B)$ and $\mathrm{P}(A)\times\mathrm{P}(B)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/understand-the-meaning-of-exclusive-and-independent-events-including-determination-of/) (16 papers) — 34 · 5.0%

## Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

| Subtopic | Topic questions | Papers | Marks | Years | |
| --- | --- | --- | --- | --- | --- |
| **[• calculate and use conditional probabilities in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/calculate-and-use-conditional-probabilities-in-simple-cases/)** | 69 | 46 | 201 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/calculate-and-use-conditional-probabilities-in-simple-cases/) |
| **[• evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events, or by calculation using permutations or combinations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/evaluate-probabilities-in-simple-cases-by-means-of-enumeration-of-equiprobable/)** | 65 | 43 | 192 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/evaluate-probabilities-in-simple-cases-by-means-of-enumeration-of-equiprobable/) |
| **[• understand the meaning of exclusive and independent events, including determination of whether events $A$ and $B$ are independent by comparing the values of $\mathrm{P}(A\cap B)$ and $\mathrm{P}(A)\times\mathrm{P}(B)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/understand-the-meaning-of-exclusive-and-independent-events-including-determination-of/)** | 16 | 16 | 34 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/understand-the-meaning-of-exclusive-and-independent-events-including-determination-of/) |
| **[• use addition and multiplication of probabilities, as appropriate, in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/use-addition-and-multiplication-of-probabilities-as-appropriate-in-simple-cases/)** | 100 | 44 | 253 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/use-addition-and-multiplication-of-probabilities-as-appropriate-in-simple-cases/) |

## Browse every topic question

- [• calculate and use conditional probabilities in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/calculate-and-use-conditional-probabilities-in-simple-cases/) — 69 question items · 46 papers — 201 marks · 2020–2026
- [• evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events, or by calculation using permutations or combinations](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/evaluate-probabilities-in-simple-cases-by-means-of-enumeration-of-equiprobable/) — 65 question items · 43 papers — 192 marks · 2020–2026
- [• understand the meaning of exclusive and independent events, including determination of whether events $A$ and $B$ are independent by comparing the values of $\mathrm{P}(A\cap B)$ and $\mathrm{P}(A)\times\mathrm{P}(B)$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/understand-the-meaning-of-exclusive-and-independent-events-including-determination-of/) — 16 question items · 16 papers — 34 marks · 2020–2026
- [• use addition and multiplication of probabilities, as appropriate, in simple cases](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/use-addition-and-multiplication-of-probabilities-as-appropriate-in-simple-cases/) — 100 question items · 44 papers — 253 marks · 2020–2026

## Other topics in 9709 P5

- [Discrete random variables 229 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/discrete-random-variables/)
- [Permutations and combinations 170 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/permutations-and-combinations/)
- [Representation of data 167 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/)
- [The normal distribution 148 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/the-normal-distribution/)

## Topic question rules and edge cases

**How many subtopics does Probability contain?**

This page lists 4 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.

**How are the subtopic question and mark totals calculated?**

A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.

**Why do some subtopics have no numbered prefix?**

Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.

**Is the LaTeX rendered without JavaScript?**

Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

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