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O LEVEL MATHEMATICS · PROBABILITY

Probability

Learn how to describe chance, calculate probabilities and use organised methods such as sample spaces, tables and tree diagrams.

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Probability Learning Roadmap

Move from probability language and sample spaces to experiments, rules, outcome tables, tree diagrams, expected frequency and Venn diagrams.

01 Available
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Introduction and Probability Language

Understand likelihood, events, outcomes and the probability scale.

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02 Available
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Sample Spaces and Single Events

List all outcomes and calculate theoretical probabilities correctly.

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03 Available
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Experimental Probability

Use observed frequencies and reason about long-run behaviour.

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04 Available
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Complements and Basic Probability Rules

Use totals of one to calculate missing or opposite events.

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05 Available
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Outcome Tables

Organise combined events and count ordered outcomes systematically.

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06 Available
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Mutually Exclusive and Overlapping Events

Use addition rules without double-counting shared outcomes.

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07 Available
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Independent Events

Multiply probabilities when one event does not affect another.

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08 Challenge
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Tree Diagrams with Replacement

Multiply along routes and add the routes that meet the event.

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09 Challenge
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Probability Without Replacement

Update tree branches when selections change the available outcomes.

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10 Challenge
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Expected Frequency and Applications

Use probability to estimate event counts over repeated trials.

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11 Challenge
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Venn-Diagram Probability

Use set regions to calculate unions, intersections and complements.

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12 Review
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Probability Mixed Review

Combine single events, rules, tables, trees and applications independently.

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13 Checkpoint
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Probability Final Checkpoint

Complete an exam-style assessment across the complete final topic.

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