# Probability

## Activities

Frequency Trees

Use a frequency tree to show two or more events and the number of times they occurred.

Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck to place the digits on the correct side of the inequality sign.

Hi-Low Predictions

A version of the Play Your Cards Right TV show. Calculate the probabilities of cards being higher or lower.

Pin Drop

Estimate the probability of a drawing pin landing point up from experimental data.

Probability

Basic probability questions in an online exercise.

Probability Line

Arrange some statements in order according to the probability of them happening.

Probability Washing Line

Hang out the washing on the line so that the probability words on the t-shirts are in order.

Snail Race

A race between 12 snails. Which snail is most likely to win? This is the students' version of the race simulation.

Superior

A game for two players who compete to make the largest possible number from randomly selected cards.

Tree Diagrams

Calculate the probability of independent and dependent combined events using tree diagrams.

## Investigations

Dice Investigation

Throw two dice and multiply the scores. Investigate the different products you can obtain. What about adding? What about using three dice?

Egg boxes

In how many different ways can two eggs be arranged in an egg box?

House Painting

The houses in Mathsland are all three storeys tall. Each storey is painted using one colour. How many ways can the houses be painted.

Predictive Survey

An eight question survey collecting data for an amazing probability experiment.

Traffic Jams

How many ways can three cars be lined up in a traffic jam?

## Videos

GCSE Probability Part 1

Screencast of probability lesson for Intermediate GCSE Maths.

The Price is Right

How lucky can you get? How many ways are there to arrange the digits 23019? What strategies might a contestant use to get a price from these 5 digits.

## Visual Aids

Dice and Spinners

Computer generated random numbers for games and probability experiments

Dice Bingo

Choose your own numbers for your bingo card. The caller uses two dice and adds the numbers together.

Greater Than

The teacher has a set of six cards numbered 1 to 6. They are placed face down on the teachers desk so that the teacher can pick up one at random which students then have to fit onto a grid.

Normal Distribution Calculator

A customised online calculator for quickly finding areas under the normal distribution curve.

A simulation of a Quincunx (Galton Board) which can be used to create the bell shaped curve of the normal distribution.

Probability Line

Arrange some statements in order according to the probability of them happening.

Probability Words

A visual aid to highlight the vocabulary of probability and to debate the relationship between the given words.

Skunk

A game for the whole Maths class to play involving chance and choice.

Snail Race

Twelve snails have a race based on the sum of two dice. This is the teachers' version of the race simulation.

Two Dice Possibility Space

An interactive visual aid showing the possibility space obtained when throwing two dice

## Starters

Bus Stop
How many different ways can four people stand in line?

Coloured Sheep
What is the probability of picking a red sheep from the sheep in the field?

Ice Cream
How many different ice cream cones can be made by choosing two scoops from six flavours?

Pick From The Pot
The pot contains 10 counters which are being randomly removed and replaced. How many of each colour do you think are in the pot?

Tran's Hats
In how many different ways might Tran decide to wear his hats in one week?

22 items are currently in this category.

Teachers might find the complete Probability Topic List useful.

Probability is a measure of the weight of evidence, and is arrived at through reasoning and inference. In simple terms it is a measure or estimation of likelihood of the occurrence of an event. The word probability comes from the Latin word probabilitas which is a measure of the authority of a witness in a legal case. Some of the earlier mathematical studies of probability were motivated by the desire to be more profitable when gambling. Today however the practical uses of probability theory go far beyond gambling and are used in many aspects of modern life.

We believe that even adults can, in many cases, have a poor intuition regarding the effects of probability. These activities are designed to help pupils calculate but also get a 'feel' for the principles of probability.

For Students:

For All: