Experimental probability

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

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

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

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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

Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?

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

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