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Listed under:  Mathematics  >  Statistics and probability  >  Probability
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

Lucky lottery

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

Downloadable

Back to the books

In this lesson, students will explore how bookmakers set odds, and how these odds are carefully determined in order to guarantee the bookmaker the best chance of making a profit. Students learn how to convert between odds and probabilities and calculate the expected profit or loss based on odds. The lesson is outlined in ...

Downloadable

Come in spinner

Students recognise and describe variations in results and conduct a simple experiment with spinners.

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

Chances are!

Students calculate the sum of probabilities for a chance experiment and compare frequency predictions with actual data.

Downloadable

One word changes it all

Exploring the meaning of 'and' and 'or' in probability.

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Poker machines (simulation)

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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. ...

Downloadable

Sports betting

In this lesson students will take ownership of a gambling organisation. They will look at long term statistics of various sporting matches to set the initial odds and then monitor live betting to adjust the odds they are offering gamblers, in order to demonstrate how sports betting organisations guarantee they always make ...

Downloadable

The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

Interactive

Experimental probability

This is an interactive resource that enables students to conduct virtual probability experiments using a spinner or a pair of dice. The student can manipulate the relative sizes of the different coloured segments of the spinner or the numbers on the faces of the dice to investigate the effect of these changes on probability. ...

Online

Introduction to probability

This is a website designed for both teachers and students in year 5, and addresses components of the probability topic. It is particularly relevant for discussing chance experiments where the probability of events is equally likely and for describing those events using fractions. There are pages for both teachers and students. ...

Interactive

The slushy sludger: questions

Use a vending machine to squirt coloured 'slushies' into ice-cream cones. Work out which 'sludge events' are possible and then choose a matching probability word.

Interactive

The vile vendor: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some sample questions using these words and then build your own examples. This learning ...

Interactive

The foul food maker: questions 1

Use a vending machine to get an awful meal such as fly soup, worm pasta or yucky duck. The machine serves a meal randomly from four slots. Work out the likelihood of getting each type of meal. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Run simple probability experiments. Compare ...

Interactive

The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

Interactive

The slushy sludger: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. Will an event happen: yes, no or maybe? Answer some sample questions using these words and then build your own examples. This learning object is one in a series of three objects.

Interactive

The vile vendor: questions

Use a vending machine to get a vile-flavoured drink such as cabbage, smelly sock or rusty nail. The machine serves a can of drink randomly from four slots. Work out the likelihood of getting each flavour. Then choose a matching probability word: impossible, unlikely, equal, likely or certain. Move on to filling the slots ...

Interactive

Spinners: explore

Test a coloured spinner (dial with pointer) with three equal-sized sectors. Use a tool to build more spinners. Choose up to twelve equal-sized sectors. Choose one of three colours for each part of a spinner. For example, make a three-colour spinner with six red sectors, four yellow sectors and two orange sectors. Test the ...