IB Mathematics AA HL – Probability & Discrete Math (Mod. 8)

Conditional Probability, Distributions, Graph Theory & Exam-Focused Problem Solving

What you’ll learn
Apply probability rules and conditional probability accurately in IB-style exam questions.
Use tree diagrams and Bayes’ Theorem to analyse real IB exam scenarios step by step.
Model random situations using discrete random variables and probability distributions.
Calculate and interpret expectation and variance in IB Mathematics AA HL context.
Solve binomial and geometric distribution problems with correct exam structure and reasoning.
Apply graph theory concepts and algorithms to discrete mathematics problems with clear interpretation.

Requirements
Familiarity with basic algebra and functions
Prior exposure to introductory probability concepts (assumed IB knowledge)
A scientific calculator suitable for IB Mathematics
Willingness to engage with structured problem-solving and reasoning

Description
Probability and Discrete Mathematics are among the most conceptually demanding topics in IB Mathematics AA HL.
Many students can perform calculations correctly, yet still lose marks due to weak reasoning, incorrect structure, or poor interpretation.

This module is designed to address exactly that problem.

In Module 8 — Probability & Discrete Mathematics, you will develop a clear, structured, and exam-focused approach to probability, discrete random variables, and graph theory, fully aligned with IB expectations.

Rather than memorising formulas, you will learn how to think, how to justify, and how to write solutions that earn marks.

You will work through

• Probability rules and conditional probability

• Tree diagrams and Bayes’ Theorem

• Discrete random variables and probability distributions

• Expectation and variance

• Binomial and geometric distributions

• Graph theory and core algorithms used in IB examinations

Each topic is taught using IB-style questions, step-by-step reasoning, and clear explanations of examiner expectations.

This is not a formula-driven course.

The emphasis is on

• structured problem-solving

• correct mathematical communication

• interpretation and decision-making

• avoiding common IB examiner errors

You will see not only what to calculate, but why each step matters and how conclusions should be written.

This module is ideal for

• IB Mathematics AA HL students preparing for exams

• Students who struggle with probability reasoning rather than calculations

• Learners who want clear methodology and examiner-style explanations

The analytical and logical skills developed in this module extend beyond exams into structured thinking and decision-making.

This course is part of a structured IB Mathematics AA HL pathway and is designed to function both as a standalone module and as preparation for further topics in the syllabus.

Students under the age of 18 may only access this course through an account created and managed by a parent or legal guardian, in accordance with Udemy’s policies.

Who this course is for
IB Mathematics AA HL students preparing for exams
IB students who want structured, exam-focused explanations in Probability and Discrete Mathematics
Learners who struggle with statistical reasoning and interpretation rather than calculations
Students aiming to improve exam performance through clear methodology and examiner-style thinking