Resources tagged with: Probability

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There are 31 results

Broad Topics > Probability > Probability

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?

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.

Which Spinners?

Age 14 to 18 Challenge Level:

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

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 ?

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?

Strange Dice

Age 11 to 14 Short Challenge Level:

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

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?

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?

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?

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?

Misunderstanding Randomness

Age 11 to 14 Challenge Level:

Which of these ideas about randomness are actually correct?

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. . . .

A Probability Conundrum

Age 14 to 18

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

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?

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.

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.

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?

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?

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. . . .

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?

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!

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.

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?

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.

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.

Heavy Hydrocarbons

Age 14 to 18 Challenge Level:

Explore the distribution of molecular masses for various hydrocarbons

Con Tricks

Age 11 to 14

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

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?