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Networks/Graph Theory. Probability. Programming. Logic. Combinatorics. Working systematically. Mathematical reasoning & proof. Combining probabilities. Algorithms. Codes and cryptography.There are 28 results
Broad Topics > Probability > Probability
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?
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?
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?
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. . . .
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?
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.
Dicey Decisions
Age 16 to 18 Challenge Level:
Can you devise a fair scoring system when dice land edge-up or corner-up?
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.
Dicey Dice
Age 16 to 18 Challenge Level:
Invent a set of three dice where each one is better than one of the others?
A Probability Conundrum
Age 14 to 18
What do we mean by probability? This simple problem may challenge your ideas...
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.
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. . . .
Heavy Hydrocarbons
Age 14 to 18 Challenge Level:
Explore the distribution of molecular masses for various hydrocarbons
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. . . .
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 ?
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.
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.
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?
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?
Perfect Eclipse
Age 14 to 16 Challenge Level:
Use trigonometry to determine whether solar eclipses on earth can be perfect.
The Wrong Stats
Age 16 to 18 Challenge Level:
Why MUST these statistical statements probably be at least a little bit wrong?
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.
Is Your DNA Unique?
Age 16 to 18 Challenge Level:
Use combinatoric probabilities to work out the probability that you are genetically unique!
NRICH is part of the family of activities in the Millennium Mathematics Project.