Probability

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

Is the regularity shown in this encoded message noise or structure?

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

Can you decide whether these short statistical statements are always, sometimes or never true?

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

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

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?