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?

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?

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

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 ?

After transferring balls back and forth between two bags the probability of selecting a green ball from bag 2 is 3/5. How many green balls were in bag 2 at the outset?