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NRICH topics: Probability Tree diagrams

Resources tagged with: Tree diagrams

Content type:
Age range:
Challenge level:

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

Broad Topics > Probability > Tree diagrams

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 Yellow starYellow star
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 Yellow star
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 Yellow star
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 Yellow starYellow star
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 Yellow star
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 Yellow star
Problem Primary curriculum Secondary curriculum

Odds and Evens

Are these games fair? How can you tell?

Age 11 to 14
Challenge Level Yellow star
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 Yellow star
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 Yellow star
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 Yellow starYellow star
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 Yellow starYellow star
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 Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Dropouts

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

Age 14 to 16
ShortChallenge Level Yellow starYellow starYellow star
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 Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Winning Marble

How can this prisoner escape?

Age 14 to 16
ShortChallenge Level Yellow starYellow starYellow star
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 Yellow star
Problem Primary curriculum Secondary curriculum

Genetics

A problem about genetics and the transmission of disease.

Age 14 to 16
Challenge Level Yellow star
Problem Primary curriculum Secondary curriculum

Ante Up

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

Age 16 to 18
Challenge Level Yellow starYellow star
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 Yellow starYellow star
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 Yellow star
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 Yellow starYellow star
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 Yellow starYellow starYellow star

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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