Cities That Calculated Chance — From Interrupted Games to Probability Axioms
Eleven scenes connect letters about an interrupted game between Paris and Toulouse, fair expectation in Leiden, mortality tables in London, Cardano’s much older gambling manuscript printed late in Lyon, a life table from Wrocław, the law of large numbers in Basel, inverse probability in London, observational error at Göttingen, the social average in Brussels, and axioms in Moscow. Probability appears not as one formula invented at one moment, but as changing answers to what it means to calculate what is not known.
Scene 1 of 11
1654
Paris
The Game Stops but the Money Remains — Pascal Counts Possible Futures
When two players stop before either reaches the target number of wins, dividing the stake by the current score alone is not fair. Pascal worked backward through possible future wins and the value of each state to calculate each player’s expected share, connecting the problem with combinations in his arithmetical triangle. The question posed by de Méré and earlier discussions by Pacioli, Cardano, and Tartaglia prevent this from becoming a story in which Pascal alone completed modern probability from nothing.
Replay on the map from scene 1Scene index