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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Probability > Tree diagrams

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Which Spinners?

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

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Interactive Spinners

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

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Odds and Evens

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

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Chances Are

Stage: 4 Challenge Level: Challenge Level:1

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

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In a Box

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Rain or Shine

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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.

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Investigating Epidemics

Stage: 3 and 4 Challenge Level: Challenge Level:1

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

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Non-transitive Dice

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Who's the Winner?

Stage: 3 Challenge Level: Challenge Level:1

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

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Genetics

Stage: 4 Challenge Level: Challenge Level:1

A problem about genetics and the transmission of disease.

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Ante Up

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

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An Introduction to Tree Diagrams

Stage: 3 and 4

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

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At Least One...

Stage: 3 and 4 Challenge Level: Challenge Level:1

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?

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Same Number!

Stage: 4 Challenge Level: Challenge Level:1

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

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Like Father Like Son

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

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

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The Hair Colour Game

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Succession in Randomia

Stage: 5 Challenge Level: Challenge Level:1

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?

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Playing Squash

Stage: 5

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.

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Master Minding

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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?

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Card Game (a Simple Version of Clock Patience)

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

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. . . .

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Nines and Tens

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Explain why it is that when you throw two dice you are more likely to get a score of 9 than of 10. What about the case of 3 dice? Is a score of 9 more likely then a score of 10 with 3 dice?

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Squash

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?