IB Math AI SL · 2021 to 2026

4.7 Discrete random variables

31 past paper questions from 13 papers across 10 exam sessions. See what repeats, then practise the same skills with AI marking.

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SL archive · 2021 to 2026

4.7 Discrete random variables

Latest exam session: May 2026

questions
questions
papers
papers
exam sessions
exam sessions
By year6micro-topics

Micro-topics in 4.7 Discrete random variables

In syllabus order. The ring is the share of papers each appears in.

  • 13

    4.7.1

    Discrete random variables & probability distributions

    7 questions · in 13% of papers

    Occasional

    last May 26 P2 TZ2

  • 4

    4.7.2

    Building probability distributions

    2 questions · in 4% of papers

    Less common

    last May 24 P1 TZ2

  • 13

    4.7.3

    Expected value

    6 questions · in 13% of papers

    Occasional

    last Nov 25 P1 TZ1

  • 20

    4.7.4

    Fair games & expected money

    9 questions · in 20% of papers

    Regular

    last May 26 P2 TZ2

  • 4

    4.7.5

    Expected value in decisions

    4 questions · in 4% of papers

    Less common

    last May 26 P1 TZ3

  • 7

    4.7.6

    Repeated trials & expected outcomes

    3 questions · in 7% of papers

    Occasional

    last Nov 24 P1 TZ2

Exam pattern

How often each micro-topic has been examined, year by year. Each label is explained under the grid.

Does it repeat?

Top 4 of 6 micro-topics for the next sitting. Numbers are questions per year.

fewermore

Micro-topic202120222023202420252026
4.7.4Fair games & expected moneyRegular
·Fair games & expected money, 2021: 0 questions2Fair games & expected money, 2022: 2 questions1Fair games & expected money, 2023: 1 question4Fair games & expected money, 2024: 4 questions·Fair games & expected money, 2025: 0 questions2Fair games & expected money, 2026: 2 questions
4.7.1Discrete random variables & probability distributionsOccasional
1Discrete random variables & probability distributions, 2021: 1 question·Discrete random variables & probability distributions, 2022: 0 questions1Discrete random variables & probability distributions, 2023: 1 question2Discrete random variables & probability distributions, 2024: 2 questions1Discrete random variables & probability distributions, 2025: 1 question2Discrete random variables & probability distributions, 2026: 2 questions
4.7.3Expected valueOccasional
2Expected value, 2021: 2 questions·Expected value, 2022: 0 questions·Expected value, 2023: 0 questions2Expected value, 2024: 2 questions2Expected value, 2025: 2 questions·Expected value, 2026: 0 questions
4.7.5Expected value in decisionsLess common
·Expected value in decisions, 2021: 0 questions·Expected value in decisions, 2022: 0 questions·Expected value in decisions, 2023: 0 questions·Expected value in decisions, 2024: 0 questions1Expected value in decisions, 2025: 1 question3Expected value in decisions, 2026: 3 questions

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  • Regularin roughly one paper in six or more
  • Occasionalin about one paper in ten
  • Less commonin fewer than one paper in fifteen

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Questions on 4.7 Discrete random variables, by exam session

Which papers asked about 4.7 Discrete random variables, and which question numbers. Open a paper to see them highlighted.

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Frequently asked questions

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Which Math AI SL exam sessions are covered for 4.7 Discrete random variables?

12 exam sessions from 2021 to 2026, the latest May 2026. Every Paper 1 and 2 in every timezone is read and classified in full, which gives 13 papers in this archive.

Which 4.7 Discrete random variables topic comes up most?

Fair games & expected money (4.7.4): in 20% of papers, last seen May 26 P2 TZ2. Usually "Calculate / Find", worth about 3.6 marks in a paper that includes it.

Can I see the original question and mark scheme?

No. The wording belongs to the IB. You get the citation, the marks, the command term and the skill tested, plus our own matched practice questions with worked answers and AI marking.

What do "banker", "due" and "rising" mean?

Banker: examined in at least one sitting in four and still appearing. Due: regular before, but absent for the last two exam sessions. Rising: clearly more common in the last two years. Our classification of real papers, not an IB statistic.

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