If you've flipped heads 10 times what's the next flip most likely to be? Bayes' theorem has the answer, not just for the coin, but for the pursuit of science generally.
Trying to make a prediction about the world based on dodgy data? Then data assimilation has the answer!
England's performance in the World Cup last summer was thankfully overshadowed by the attention given to Paul the octopus, who was reported as making an unbroken series of correct predictions of match winners. David Spiegelhalter looks at Paul's performance in an attempt to answer the question that (briefly) gripped the world: was Paul psychic?