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Counting principle and probability — Grade 12 Mathematics Notes

Comprehensive CAPS-aligned study notes for Counting principle and probability in Grade 12 Mathematics. Browse the sections below to find detailed explanations, worked examples, and exam preparation material.

Sections in Counting principle and probability

Revision

Probability Revision Before tackling the advanced probability concepts in Grade 12, you need a solid understanding of the foundational ideas from earlier grades. Probability measures how likely an…

Theoretical Probability and Relative Frequency

Theoretical Probability and Relative Frequency In probability, there is an important distinction between what you expect to happen and what actually happens when you carry out an experiment. These…

Venn Diagrams

Venn Diagrams Venn diagrams are one of the most powerful visual tools in probability. They allow you to organise information about events, see overlaps between events, and read off probabilities…

Mutually Exclusive Events

Mutually Exclusive Events Some events can happen at the same time, while others cannot. Understanding which events can co-occur and which cannot is central to correctly applying the addition rule in…

Complementary Events

Complementary Events Every event has a partner — its complement. If event $A$ represents something happening, then "not $A$" represents everything else in the sample space. Complementary events give…

Events Which Are Not Mutually Exclusive

Events Which Are Not Mutually Exclusive Most real-world events are not mutually exclusive — they can happen at the same time. When two events share outcomes, their Venn diagram circles overlap, and…

Summary of Symbols and Sets Used in Probability

Summary of Symbols and Sets Used in Probability Probability uses a rich vocabulary of symbols and set operations. This section provides a complete reference of every symbol, notation, and term you…

Tree Diagrams and Contingency Tables

Tree Diagrams Tree diagrams are a powerful visual tool for representing sequential events — situations where one event happens after another. They are especially useful for problems involving…

Contingency Tables

Contingency Tables A contingency table (also called a two-way table) is a compact way to organise data about two categorical variables at the same time. They are widely used in probability to…

Counting Principles

Counting Principles The Fundamental Counting Principle is the foundation for counting the number of ways events can occur. It is essential for problems that ask "how many arrangements", "how many…

Use of Counting Principles in Probability

Use of Counting Principles in Probability The counting principle does not just tell us how many arrangements are possible — it also gives us the tools to calculate probabilities of specific outcomes…

Frequently Asked Questions

What is covered in Counting principle and probability for Grade 12 Mathematics?

The Counting principle and probability section covers all key concepts from the Grade 12 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

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Our Counting principle and probability notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 12 Mathematics exams.

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