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?

Are these domino games fair? Can you explain why or why not?

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?