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Resources tagged with Probability similar to Knock-out:

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Broad Topics > Probability > Probability

Win or Lose?

Stage: 4 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. . . .

An Introduction to Tree Diagrams

Stage: 3 and 4

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

The Random World

Stage: 3, 4 and 5

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.

Dicey Dice

Stage: 5 Challenge Level:

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

Dicey Decisions

Stage: 5 Challenge Level:

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

Fixing the Odds

Stage: 4 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. . . .

Which Spinners?

Stage: 4 Challenge Level:

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

Introducing Distributions

Stage: 4 Challenge Level:

When five dice are rolled together which do you expect to see more often, no sixes or all sixes ?

Scratch Cards

Stage: 4 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?

In a Box

Stage: 4 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?

What's the Point of Squash?

Stage: 4 and 5 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?

Is Your DNA Unique?

Stage: 5 Challenge Level:

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

Discussing Risk and Reward

Stage: 5 Challenge Level:

10 starting points for risk vs reward

Heavy Hydrocarbons

Stage: 4 and 5 Challenge Level:

Explore the distribution of molecular masses for various hydrocarbons

Stage 5 Cipher Challenge

Stage: 5 Challenge Level:

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

Why Do People Find Probability Unintuitive and Difficult?

Stage: 2, 3, 4 and 5

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

Distribution Maker

Stage: 5 Challenge Level:

This tool allows you to create custom-specified random numbers, such as the total on three dice.

Coin Lines

Stage: 4 Challenge Level:

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

Red or Black Spinner

Stage: Early years, 1, 2, 3 and 4 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. . . .

Twenty20

Stage: 2, 3 and 4 Challenge Level:

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

The Wrong Stats

Stage: 5 Challenge Level:

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

Stop or Dare

Stage: 2, 3 and 4 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.

Scale Invariance

Stage: 5 Challenge Level:

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

396

Stage: 4 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.

Game of PIG - Sixes

Stage: 2, 3, 4 and 5 Challenge Level:

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

From A Random World to a Rational Universe

Stage: 2, 3 and 4

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?

Any Win for Tennis?

Stage: 5 Challenge Level:

What are your chances of winning a game of tennis?

Perfect Eclipse

Stage: 4 Challenge Level:

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