Theoretical probability

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

Which of these ideas about randomness are actually correct?

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

Can you generate a set of random results? Can you fool the random simulator?

Kaia is sure that her father has worn a particular tie twice a week in at least five of the last ten weeks, but her father disagrees. Who do you think is right?

This article, for students and teachers, is mainly about probability, the mathematical way of looking at random chance and is a shorter version of Taking Chances Extended.

Heads or Tails - the prize doubles until you win it. How much would you pay to play?

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 ?

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

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