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Listed under:  Mathematics  >  Statistics and probability  >  Probability  >  Expected frequency
Downloadable

Introduction to games of chance

This lesson explores how to predict outcomes of games of chance. Students investigate the concepts of luck, skill and fairness, using dice games. They calculate probabilities for one and two dice rolls and compare the odds for different combinations of dice in a variety of game scenarios. The lesson is outlined in detail ...

Downloadable

Prediction vs. reality

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

Downloadable

Can you beat the system?

In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...

Interactive

Syllabus bites: Introducing Venn diagrams

An interactive resource in which students explore, interpret and draw Venn diagrams with two attributes.

Online

TIMES Module 13: Statistics and Probability: chance, year 8 - teacher guide

This is a 15-page guide for teachers. It continues the development of probability. A careful consideration of outcomes and equally likely outcomes is undertaken. In year 8, students see that these are a special case of finding probabilities of events by summing probabilities of the disjoint (or mutually exclusive) outcomes ...

Interactive

Syllabus bites: The language of Venn diagrams

Interactive activities supporting students learning to describe regions of a Venn diagram.

Text

Thumb wrestling tournament

In this introductory activity students use a simple thumb-wrestling tournament to analyse a series of matches in which there can only be one victor. Students work in small groups to explore different ways of mapping out the events of a tournament, introducing the concept of constructing sample spaces and tree diagrams as ...

Online

TIMES Module 1: Number and Algebra: sets and Venn diagrams - teacher guide

This is a 22-page guide for teachers. The module provides an introduction to set notation and demonstrates its use in logic, probability and functions.

Interactive

Syllabus bites: Venn diagrams and Two-way tables

An interactive exploration of the relationship between Venn diagrams and Two-way tables.

Interactive

Syllabus bites: More Venn diagrams

An interactive exploration of Venn diagrams with three attributes.

Interactive

Syllabus bites: Using Venn diagrams to solve problems

Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.