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There are **49** NRICH Mathematical resources connected to **Experimental probability**, you may find related items under Probability.

Problem
Primary curriculum
Secondary curriculum
### Odds and Evens Made Fair

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Statistical Shorts

Can you decide whether these short statistical statements are always, sometimes or never true?

Age 11 to 16

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
### What Does Random Look Like?

Engage in a little mathematical detective work to see if you can spot the fakes.

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Car That Passes

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### In the Playground

What can you say about the child who will be first on the playground tomorrow morning at breaktime in your school?

Age 5 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Mathsland National Lottery

Can you work out the probability of winning the Mathsland National Lottery?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Do You Feel Lucky?

Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

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
### Last One Standing

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Sociable Cards

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Probably a Code?

Is the regularity shown in this encoded message noise or structure?

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Time to Evolve 2

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

Age 16 to 18

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

Problem
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
### It's a Tie

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Cosy Corner

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Two's Company

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

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
### The Twelve Pointed Star Game

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Roll These Dice

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Age 7 to 11

Challenge Level

Interactive
Primary curriculum
Secondary curriculum
### Red or Black Spinner

A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at least version 9.

Age 3 to 16

Challenge 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

Problem
Primary curriculum
Secondary curriculum
### Probably...

You'll need to work in a group for this problem. The idea is to decide, as a group, whether you agree or disagree with each statement.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Winning the Lottery

Find out about the lottery that is played in a far-away land. What is the chance of winning?

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### The Derren Brown Coin Flipping Scam

Calculate probabilities associated with the Derren Brown coin scam in which he flipped 10 heads in a row.

Age 16 to 18

Challenge Level

Interactive
Primary curriculum
Secondary curriculum
### Dice & Spinners Interactive

Simple dice and spinners tool for experiments.

Problem
Primary curriculum
Secondary curriculum
### X-dice

Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?

Age 16 to 18

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

Problem
Primary curriculum
Secondary curriculum
### Misunderstanding Randomness

Which of these ideas about randomness are actually correct?

Age 11 to 14

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Can't Find a Coin?

Can you generate a set of random results? Can you fool the random simulator?

Age 11 to 14

Challenge Level

Article
Primary curriculum
Secondary curriculum
### The Random World

Think that a coin toss is 50-50 heads or tails? Read on to appreciate the ever-changing and random nature of the world in which we live.

Age 11 to 18

Problem
Primary curriculum
Secondary curriculum
### Taking Chances

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.

Age 11 to 14

Challenge Level

Article
Primary curriculum
Secondary curriculum
### Taking Chances Extended

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.

Age 14 to 18

Problem
Primary curriculum
Secondary curriculum
### Two and One

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

Age 5 to 7

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### You Never Get a Six

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

Age 7 to 11

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Tricky Track

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

Age 7 to 11

Challenge Level

Article
Primary curriculum
Secondary curriculum
### The Mean Game

Edward Wallace based his A Level Statistics Project on The Mean Game. Each picks 2 numbers. The winner is the player who picks a number closest to the mean of all the numbers picked.

Age 16 to 18

Game
Primary curriculum
Secondary curriculum
### Game of PIG - Sixes

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

Age 7 to 18

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Snail Trails

This is a game for two players. Does it matter where the target is put? Is there a good strategy for winning?

Age 11 to 14

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Stop or Dare

All you need for this game is a pack of cards. While you play the game, think about strategies that will increase your chances of winning.

Age 7 to 16

Challenge Level

Game
Primary curriculum
Secondary curriculum
### Football World Cup Simulation

A maths-based Football World Cup simulation for teachers and students to use.

Age 7 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Thank Your Lucky Stars

A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Win or Lose?

A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has he more money than he started with?

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Coin Tossing Games

You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by a head (you win). What is the probability that you win?

Age 14 to 16

Challenge Level