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Maths in a minute: The prosecutor's fallacy
Why a DNA match doesn't necessarily prove your guilt.
Mathematical models predict how fast a rumour will spread and how many people it's likely to reach.
A model of the interaction between predators and prey explains why sometimes frogs appear to eat snakes.
A model of backward causation in which the future affects the past could help unite quantum mechanics and general relativity – and satisfy a challenge thrown down almost a century ago by Arthur Eddington.