Other tags that relate to 396
Permutations. Theoretical probability. Probability. Factors and multiples. Modular arithmetic. Indices. Mathematical induction. Divisibility. Combining probabilities. Mathematical reasoning & proof.There are 32 results
Broad Topics > Probability > Probability
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.
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?
Con Tricks
Age 11 to 14
Here are some examples of 'cons', and see if you can figure out where the trick is.
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?
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. . . .
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. . . .
Strange Dice
Age 11 to 14 Short Challenge Level:
If two of these unusually numbered dice are thrown, how many different sums are possible?
Why Do People Find Probability Unintuitive and Difficult?
Age 7 to 18
Uncertain about the likelihood of unexpected events? You are not alone!
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.
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?
Heavy Hydrocarbons
Age 14 to 18 Challenge Level:
Explore the distribution of molecular masses for various hydrocarbons
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?
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 ?
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?
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. . . .
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?
The Lady or the Lions
Age 11 to 14 Challenge Level:
The King showed the Princess a map of the maze and the Princess was allowed to decide which room she would wait in. She was not allowed to send a copy to her lover who would have to guess which path. . . .
A Dicey Paradox
Age 11 to 14 Challenge Level:
Four fair dice are marked differently on their six faces. Choose first ANY one of them. I can always choose another that will give me a better chance of winning. Investigate.
A Probability Conundrum
Age 14 to 18
What do we mean by probability? This simple problem may challenge your ideas...
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?
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.
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?
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?
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?
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.
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?
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.
NRICH is part of the family of activities in the Millennium Mathematics Project.