Probability

Explore chance, uncertainty, events, and probability rules in Grade 10 Mathematics.

CAPS Grade 10 Mathematics

This section brings together the core probability ideas you need in Grade 10: sample spaces, Venn diagrams, complementary events, mutually exclusive events, relative frequency, and key probability identities.

Learning Outcomes

  • Define probability and calculate simple theoretical probabilities.
  • Represent events using Venn diagrams and set language.
  • Understand unions, intersections, and event relationships.
  • Use complementary and mutually exclusive event rules correctly.
  • Compare theoretical probability with relative frequency.
  • Apply probability identities to solve Grade 10 problems more efficiently.

Topics

Core Formulas

Theoretical Probability
P(E) = favourable outcomes / total outcomes
Complement Rule
P(not A) = 1 - P(A)
Addition Rule
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Mutually Exclusive Events
If A and B cannot happen together, then P(A ∩ B) = 0

Study Tips

Back to Mathematics Start with Theoretical Probability

Start Here: Probability

Use this Probability section to practise sample spaces, events, complements, Venn diagrams, relative frequency, and probability rules. Start by listing outcomes clearly before calculating, because most errors come from counting the wrong region or event.

When a question includes a diagram, table, or experiment, use that information first instead of assuming all outcomes are equally likely.

Learning Path

A useful path from this page is to begin with Theoretical Probability, continue with Relative Frequency, and then test your understanding with Venn Diagrams. Do not rush through the links; spend time on the examples and make sure you can explain the main idea without looking at the notes.

What to Focus On

Use this page to build definitions, worked examples, formulas, diagrams, and problem-solving methods. Write down key terms, formulas, diagrams, or steps that appear often so that revision becomes active instead of just rereading.

Revision Advice

Keep a correction book for sign errors, formula mistakes, geometry reasons, and questions that need more practice. After each lesson, close the page and try a short self-test from memory before checking your notes again.

Quick FAQ

If you are stuck, start with algebra basics and number skills, because many later topics depend on accurate manipulation and clear working. If a topic feels too difficult, return to the previous link, revise the basics, and then try the examples again before using past papers.