Resources tagged with: Probability

Filter by: Content type:
Age range:
Challenge level:

There are 31 results

Broad Topics > Probability > Probability

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. . . .

Which Spinners?

Age 14 to 18
Challenge Level

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

Tools for Thinking about Probability

Age 11 to 14
Challenge Level

Can you design your own probability scale?
How do you describe the different parts?

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?

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. . . .

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.

In a Box

Age 14 to 16
Challenge Level

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?

Non-transitive Dice

Age 11 to 14
Challenge Level

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

Do You Feel Lucky?

Age 11 to 14
Challenge Level

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?

An Introduction to Tree Diagrams

Age 11 to 16

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

What Do You Know about Probability? (2)

Age 11 to 14
Challenge Level

What are the likelihoods of different events when you roll a dice?

Nine or Ten?

Age 11 to 14 Short
Challenge Level

Is a score of 9 more likely than a score of 10 when you roll three dice?

Coin Lines

Age 14 to 16
Challenge Level

If a coin rolls and lands on a set of concentric circles what is the chance that the coin touches a line ?

Winning Marble

Age 14 to 16 Short
Challenge Level

How can this prisoner escape?

Fixing the Odds

Age 14 to 16
Challenge Level

You have two bags, four red balls and four white balls. You must put all the balls in the bags although you are allowed to have one bag empty. How should you distribute the balls between the two. . . .

Strange Dice

Age 11 to 14 Short
Challenge Level

If two of these unusually numbered dice are thrown, how many different sums are possible?

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.

A Probability Conundrum

Age 14 to 18

What do we mean by probability? This simple problem may challenge your ideas...

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.

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?

Why Do People Find Probability Unintuitive and Difficult?

Age 7 to 18

Uncertain about the likelihood of unexpected events? You are not alone!

From A Random World to a Rational Universe

Age 7 to 16

In the time before the mathematical idea of randomness was discovered, people thought that everything that happened was part of the will of supernatural beings. So have things changed?

Racing Odds

Age 11 to 14
Challenge Level

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?

Scratch Cards

Age 14 to 16
Challenge Level

To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?

Heavy Hydrocarbons

Age 14 to 18
Challenge Level

Explore the distribution of molecular masses for various hydrocarbons

396

Age 14 to 16
Challenge Level

The four digits 5, 6, 7 and 8 are put at random in the spaces of the number : 3 _ 1 _ 4 _ 0 _ 9 2 Calculate the probability that the answer will be a multiple of 396.

Con Tricks

Age 11 to 14

Here are some examples of 'cons', and see if you can figure out where the trick is.

Twenty20

Age 7 to 16
Challenge Level

Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.

Perfect Eclipse

Age 14 to 16
Challenge Level

Use trigonometry to determine whether solar eclipses on earth can be perfect.

What's the Point of Squash?

Age 14 to 18
Challenge Level

Under which circumstances would you choose to play to 10 points in a game of squash which is currently tied at 8-all?