# Resources tagged with: Theoretical probability

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### There are 38 results

Broad Topics > Probability > Theoretical probability

### 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?

### 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?

### 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?

### A Probability Conundrum

##### Age 14 to 18

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

### 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?

### 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 ?

### 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?

### 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?

##### 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?

### 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?

### 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?

##### 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. . . .

### 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. . . .

### 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. . . .

### 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?

### 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 ?

### Which Spinners?

##### Age 14 to 18 Challenge Level:

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

### 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.

### Misunderstanding Randomness

##### Age 11 to 14 Challenge Level:

Which of these ideas about randomness are actually correct?

### 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.

### 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?

### Mathsland National Lottery

##### Age 14 to 16 Challenge Level:

Can you work out the probability of winning the Mathsland National Lottery?

### The Better Choice

##### Age 14 to 16 Challenge Level:

Here are two games you can play. Which offers the better chance of winning?

### Football World Cup Simulation

##### Age 7 to 16 Challenge Level:

A maths-based Football World Cup simulation for teachers and students to use.

### 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?

### 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?

### Who's the Winner?

##### Age 14 to 16 Challenge Level:

When two closely matched teams play each other, what is the most likely result?

### Like Father Like Son

##### Age 14 to 16 Challenge Level:

What is the chance I will have a son who looks like me?

### Genetics

##### Age 14 to 16 Challenge Level:

A problem about genetics and the transmission of disease.

### 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.

### 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?

### 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.

### 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.

### 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?

### 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?

### Odds and Evens

##### Age 11 to 14 Challenge Level:

Are these games fair? How can you tell?

### 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. . . .

### 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?