Probability

problem
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?
problem
Magic bag

Age

16 to 18

Challenge level

A weekly challenge concerning combinatorical probability.
game

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.
problem
Any win for tennis?

Age

16 to 18

Challenge level

What are your chances of winning a game of tennis?
problem
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?
problem
Dicey decisions

Age

16 to 18

Challenge level

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

Age

16 to 18

Challenge level

Use cunning to work out a strategy to win this game.
problem
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?
problem
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.
problem
The car that passes

Age

7 to 11

Challenge level

What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?