Experimental 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?

Engage in a little mathematical detective work to see if you can spot the fakes.

This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

Play this dice game yourself. How could you make it fair?