The Birthday of Johnny Carson (1925) – The Mathematics of Late Night

Johnny Carson hosted ‘The Tonight Show’ for 30 years. The mathematics of late‑night TV: scheduling (optimisation), ratings (statistical sampling), and comedy writing (surprise and timing – information theory). Carson’s monologue jokes followed a structure: setup (predictable) + punchline (unexpected). The ‘entropy’ of a joke measures unpredictability. Carson also popularised the game ‘Carnac the Magnificent’ – a puzzle involving clairvoyance (reverse probability). Behind the laughter, there is mathematics.