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

Problem
Primary curriculum
Secondary curriculum
### Non-transitive Dice

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

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Who's the Winner?

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### At Least One...

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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Same Number!

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Which Spinners?

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

Age 14 to 18

Challenge Level

General
Primary curriculum
Secondary curriculum
### Interactive Spinners

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

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Flippin' Discs

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Chances Are

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

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### In a Box

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?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Rain or Shine

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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Do You Brush Your Teeth Every Day?

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

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Dropouts

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

Age 14 to 16

ShortChallenge Level

Problem
Primary curriculum
Secondary curriculum
### Odd Dice

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

Age 14 to 16

ShortChallenge Level

Project
Primary curriculum
Secondary curriculum
### Investigating Epidemics

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

Age 11 to 16

Challenge Level

Article
Primary curriculum
Secondary curriculum
### An Introduction to Tree Diagrams

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

Age 11 to 16

Problem
Primary curriculum
Secondary curriculum
### Peas in a Pod

What is the chance this pea plant will look like its parents?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Succession in Randomia

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?

Age 16 to 18

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Playing Squash

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.

Age 16 to 18

Problem
Primary curriculum
Secondary curriculum
### Master Minding

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?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Squash

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?

Age 16 to 18

Challenge Level