Resources tagged with: Probability

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There are 28 results

Broad Topics > Probability > Probability

A Probability Conundrum

Age 14 to 18

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

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.

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. . . .

Winning Marble

Age 14 to 16 Short Challenge Level:

How can this prisoner escape?

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?

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.

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 ?

Which Spinners?

Age 14 to 18 Challenge Level:

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

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. . . .

Dicey Dice

Age 16 to 18 Challenge Level:

Invent a set of three dice where each one is better than one of the others?

Dicey Decisions

Age 16 to 18 Challenge Level:

Can you devise a fair scoring system when dice land edge-up or corner-up?

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. . . .

Stage 5 Cipher Challenge

Age 16 to 18 Challenge Level:

Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?

Any Win for Tennis?

Age 16 to 18 Challenge Level:

What are your chances of winning a game of tennis?

Why Do People Find Probability Unintuitive and Difficult?

Age 7 to 18

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

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.

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?

Discussing Risk and Reward

Age 16 to 18 Challenge Level:

10 starting points for risk vs reward

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?

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


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.

The Wrong Stats

Age 16 to 18 Challenge Level:

Why MUST these statistical statements probably be at least a little bit wrong?


Age 7 to 16 Challenge Level:

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

Is Your DNA Unique?

Age 16 to 18 Challenge Level:

Use combinatoric probabilities to work out the probability that you are genetically unique!

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?

Scale Invariance

Age 16 to 18 Challenge Level:

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.