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NRICH topics: Probability Experimental probability

Resources tagged with: Experimental probability

Content type:
Age range:
Challenge level:

There are 47 NRICH Mathematical resources connected to Experimental probability, you may find related items under Probability.

Broad Topics > Probability > Experimental 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 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

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 Yellow star
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 Yellow star
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 Yellow starYellow star
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 Yellow starYellow starYellow 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

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 Yellow star
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 Yellow star
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 Yellow starYellow starYellow star
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 Yellow starYellow 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

Very Old Man

Is the age of this very old man statistically believable?

Age 16 to 18
Challenge Level Yellow star
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 Yellow starYellow star
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 Yellow starYellow star
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 Yellow starYellow star
Problem Primary curriculum Secondary curriculum

Domino Pick

Are these domino games fair? Can you explain why or why not?

Age 5 to 7
Challenge Level Yellow starYellow 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

Odds or Sixes?

Play this dice game yourself. How could you make it fair?

Age 7 to 11
Challenge Level Yellow star
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 Yellow starYellow star
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 Yellow starYellow star
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 Yellow 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

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

Misunderstanding Randomness

Which of these ideas about randomness are actually correct?

Age 11 to 14
Challenge Level Yellow starYellow star
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 Yellow starYellow star
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 Yellow starYellow star
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 Yellow starYellow starYellow star
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 Yellow star
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 Yellow star
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 Yellow star
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 Yellow star
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 Yellow star
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 Yellow star
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 Yellow starYellow star
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 Yellow starYellow star
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 Yellow 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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