Theoretical probability

problem
Favourite

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?
problem
Favourite

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 ?
problem
Favourite

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?
problem
Favourite

Mathsland National Lottery

Age

14 to 16

Challenge level

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

Distribution Differences

Age

14 to 16

Challenge level

How could you compare different situations where something random happens? What sort of things might be the same? What might be different?
problem

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?
article
A Probability Conundrum

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

Which Spinners?

Age

14 to 18

Challenge level

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

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?
problem

Snooker

Age

16 to 18

Challenge level

A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?