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There are 24 NRICH Mathematical resources connected to Tree diagrams, you may find related items under Probability.

Broad Topics > Probability > Tree diagrams

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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?

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Which Spinners?

Age 14 to 18 Challenge Level:

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

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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.

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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?

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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?

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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?

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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.

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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?

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Dropouts

Age 14 to 16 Short Challenge Level:

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

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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?

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Winning Marble

Age 14 to 16 Short Challenge Level:

How can this prisoner escape?

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Investigating Epidemics

Age 11 to 16 Challenge Level:

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

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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?

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Who's the Winner?

Age 14 to 16 Challenge Level:

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

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Genetics

Age 14 to 16 Challenge Level:

A problem about genetics and the transmission of disease.

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Ante Up

Age 16 to 18 Challenge Level:

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

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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.

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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?

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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?

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Like Father Like Son

Age 14 to 16 Challenge Level:

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

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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?

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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.

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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?

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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?