Resources tagged with: Experimental probability

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

Broad Topics > Probability > Experimental probability

Odds and Evens Made Fair

Age 14 to 16
Challenge Level

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.

The Car That Passes

Age 7 to 11
Challenge Level

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?

In the Playground

Age 5 to 11
Challenge Level

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

Probably a Code?

Age 16 to 18
Challenge Level

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

Time to Evolve 2

Age 16 to 18
Challenge Level

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

Which Spinners?

Age 14 to 18
Challenge Level

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

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.

Very Old Man

Age 16 to 18
Challenge Level

Is the age of this very old man statistically believable?

It's a Tie

Age 7 to 11
Challenge Level

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?

Cosy Corner

Age 11 to 14
Challenge Level

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

Two's Company

Age 11 to 14
Challenge Level

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

Domino Pick

Age 5 to 7
Challenge Level

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

Odds and Evens

Age 11 to 14
Challenge Level

Are these games fair? How can you tell?

Flippin' Discs

Age 11 to 14
Challenge Level

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

Odds or Sixes?

Age 7 to 11
Challenge Level

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

The Twelve Pointed Star Game

Age 7 to 11
Challenge Level

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?

Roll These Dice

Age 7 to 11
Challenge Level

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?

Red or Black Spinner

Age 3 to 16
Challenge Level

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. . . .

Investigating Epidemics

Age 11 to 16
Challenge Level

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

Who's the Winner?

Age 14 to 16
Challenge Level

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

What Does Random Look Like?

Age 11 to 14
Challenge Level

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

Probably ...

Age 7 to 11
Challenge Level

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.

Winning the Lottery

Age 7 to 11
Challenge Level

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

Mathsland National Lottery

Age 14 to 16
Challenge Level

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

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?

Last One Standing

Age 14 to 16
Challenge Level

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

Sociable Cards

Age 11 to 14
Challenge Level

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

The Derren Brown Coin Flipping Scam

Age 16 to 18
Challenge Level

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

Dice & Spinners Interactive

Simple dice and spinners tool for experiments.

X-dice

Age 16 to 18
Challenge Level

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

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?

Misunderstanding Randomness

Age 11 to 14
Challenge Level

Which of these ideas about randomness are actually correct?

Can't Find a Coin?

Age 11 to 14
Challenge Level

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

The Random World

Age 11 to 18

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.

Taking Chances

Age 11 to 14
Challenge Level

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.

Taking Chances Extended

Age 14 to 18

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

Two and One

Age 5 to 7
Challenge Level

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

You Never Get a Six

Age 7 to 11
Challenge Level

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.

Tricky Track

Age 7 to 11
Challenge Level

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?

The Mean Game

Age 16 to 18

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.

Game of PIG - Sixes

Age 7 to 18
Challenge Level

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

Snail Trails

Age 11 to 14
Challenge Level

This is a game for two players. You will need some small-square grid paper, a die and two felt-tip pens or highlighters. Players take turns to roll the die, then move that number of squares in. . . .

Stop or Dare

Age 7 to 16
Challenge Level

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.

Football World Cup Simulation

Age 7 to 16
Challenge Level

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

Thank Your Lucky Stars

Age 14 to 16
Challenge Level

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. . . .

Win or Lose?

Age 14 to 16
Challenge Level

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. . . .

Coin Tossing Games

Age 14 to 16
Challenge Level

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. . . .