Other tags that relate to Voting Paradox
Experimental probability. Combining probabilities. Conditional probability. Probability. Permutations. Tree diagrams. Chemistry. Theoretical probability. Real world. Counting. Combinatorics.There are 38 results
Broad Topics > Probability > Theoretical probability
Voting Paradox
Age 14 to 18
Challenge Level
Some relationships are transitive, such as `if A>B and B>C then it follows that A>C', but some are not. In a voting system, if A beats B and B beats C should we expect A to beat C?
At Least One...
Age 11 to 14
Challenge Level
Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?
Chances Are
Age 14 to 16
Challenge Level
Which of these games would you play to give yourself the best possible chance of winning a prize?
A Probability Conundrum
Age 14 to 18
What do we mean by probability? This simple problem may challenge your ideas...
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?
Taking Chances Extended
Age 14 to 18
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance.
Gambling at Monte Carlo
Age 14 to 16
Challenge Level
A man went to Monte Carlo to try and make his fortune. Is his strategy a winning one?
The Birthday Bet
Age 14 to 16
Challenge Level
The next ten people coming into a store will be asked their birthday. If the prize is £20, would you bet £1 that two of these ten people will have the same birthday ?
The Better Choice
Age 14 to 16
Challenge Level
Here are two games you can play. Which offers the better chance of winning?
Same Number!
Age 14 to 16
Challenge Level
If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?
Marbles and Bags
Age 14 to 16
Challenge Level
Two bags contain different numbers of red and blue marbles. A marble is removed from one of the bags. The marble is blue. What is the probability that it was removed from bag A?
Coin Tossing Games
Age 14 to 16
Challenge Level
You and I play a game involving successive throws of a fair coin. Suppose I pick HH and you pick TH. The coin is thrown repeatedly until we see either two heads in a row (I win) or a tail followed by. . . .
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?
Which Spinners?
Age 14 to 18
Challenge Level
Can you work out which spinners were used to generate the frequency charts?
Distribution Differences
Age 14 to 16
Challenge Level
How could you compare different situation where something random happens ? What sort of things might be the same ? What might be different ?
Taking Chances
Age 11 to 14
Challenge Level
This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.
Like Father Like Son
Age 14 to 16
Challenge Level
What is the chance I will have a son who looks like me?
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?
Mathsland National Lottery
Age 14 to 16
Challenge Level
Can you work out the probability of winning the Mathsland National Lottery?
Bet You a Million
Age 14 to 16
Challenge Level
Heads or Tails - the prize doubles until you win it. How much would you pay to play?
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?
Two's Company
Age 11 to 14
Challenge Level
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
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. . . .
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. . . .
Last One Standing
Age 14 to 16
Challenge Level
Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
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.
Who's the Winner?
Age 14 to 16
Challenge Level
When two closely matched teams play each other, what is the most likely result?
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.
Flippin' Discs
Age 11 to 14
Challenge Level
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
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?
What Does Random Look Like?
Age 11 to 14
Challenge Level
Engage in a little mathematical detective work to see if you can spot the fakes.
Football World Cup Simulation
Age 7 to 16
Challenge Level
A maths-based Football World Cup simulation for teachers and students to use.
Cosy Corner
Age 11 to 14
Challenge Level
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Thank Your Lucky Stars
Age 14 to 16
Challenge Level
A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .
NRICH is part of the family of activities in the Millennium Mathematics Project.