Search by Topic

Filter by: Content type:
Age range:
Challenge level:

There are 25 results

Broad Topics > Probability > Tree diagrams

The Hair Colour Game

Age 5 to 7 Challenge Level:

The class were playing a maths game using interlocking cubes. Can you help them record what happened?

Which Spinners?

Age 14 to 18 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

Interactive Spinners

Age 11 to 14 Challenge Level:

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

Odds and Evens

Age 11 to 14 Challenge Level:

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

Chances Are

Age 14 to 16 Challenge Level:

Which of these games would you play to give yourself the best possible chance of winning a prize?

In a Box

Age 14 to 16 Challenge Level:

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

Rain or Shine

Age 16 to 18 Challenge Level:

Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.

Do You Brush Your Teeth Every Day?

Age 14 to 18 Challenge Level:

How can we find out answers to questions like this if people often lie?

Dropouts

Age 14 to 16 Short Challenge Level:

What percentage of students who graduate have never been to France?

Odd Dice

Age 14 to 16 Short Challenge Level:

These strange dice are rolled. What is the probability that the sum obtained is an odd number?

Winning Marble

Age 14 to 16 Short Challenge Level:

How can this prisoner escape?

Investigating Epidemics

Age 11 to 16 Challenge Level:

Simple models which help us to investigate how epidemics grow and die out.

Non-transitive Dice

Age 11 to 14 Challenge Level:

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Who's the Winner?

Age 14 to 16 Challenge Level:

When two closely matched teams play each other, what is the most likely result?

Genetics

Age 14 to 16 Challenge Level:

A problem about genetics and the transmission of disease.

Ante Up

Age 16 to 18 Challenge Level:

Use cunning to work out a strategy to win this game.

An Introduction to Tree Diagrams

Age 11 to 16

This article explains how tree diagrams are constructed and helps you to understand how they can be used to calculate probabilities.

At Least One...

Age 11 to 14 Challenge Level:

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Same Number!

Age 14 to 16 Challenge Level:

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

Like Father Like Son

Age 14 to 16 Challenge Level:

What is the chance I will have a son who looks like me?

Succession in Randomia

Age 16 to 18 Challenge Level:

By tossing a coin one of three princes is chosen to be the next King of Randomia. Does each prince have an equal chance of taking the throne?

Playing Squash

Age 16 to 18

Playing squash involves lots of mathematics. This article explores the mathematics of a squash match and how a knowledge of probability could influence the choices you make.

Master Minding

Age 11 to 14 Challenge Level:

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

Card Game (a Simple Version of Clock Patience)

Age 14 to 16 Challenge Level:

Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over... You win if all your cards end up in the trays before you run out of cards in. . . .

Squash

Age 16 to 18 Challenge Level:

If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?