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The mathematics of betting

At all times and in all civilizations, gambling and the chance that governs it have fascinated! Since the 15th century, mathematicians have gradually attempted to tame chance and to put betting into equation. Despite their conclusions, men still seek to "force the hand of fate" by developing martingales to win against the uncertain future. Can these strategies be applied to the next presidential elections? Do you know everything about odds, bookmaker methods and totally counterintuitive probabilistic paradoxes?

All articles  in this folder

D'Alembert's heads-or-tails dispute | Tangente

D'Alembert's heads-or-tails dispute | Tangente

A coin tossed twice has a one-in-four chance of landing heads both times. D'Alembert had his doubts. Why? To say he was wrong is to challenge a law formulated by Laplace. Yet Laplace failed to see that his own rule lent credence to D'Alembert's doubts!

Léo Gerville-RéacheMar 26, 2017
Famous paradoxes: Pascal's wager & St. Petersburg | Tangente

Famous paradoxes: Pascal's wager & St. Petersburg | Tangente

Let's rediscover the famous Pascal's wager, a line of reasoning as questionable mathematically as it is theologically!

PHILIPPE BOULANGERMar 26, 2017
Bookmakers don't like probabilities

Bookmakers don't like probabilities

Since bookmakers try to assess the outcomes of horse races, it is easy to imagine that they rely on probability. Rather surprisingly, they do not! This paradox can be explained by a mathematical property of probabilities.

Jacques BairMar 26, 2017
Bets settled by geometry

Bets settled by geometry

Some winning probabilities can be determined through geometric considerations, thus avoiding lengthy calculations.

PHILIPPE BOULANGERMar 26, 2017
Pascal's wager applied to presidential elections | Tangente

Pascal's wager applied to presidential elections | Tangente

Throughout history and across civilizations, chance has fascinated people. Although betting was not conceptualized until the 15th and 16th centuries, it had already attracted many enthusiasts. Strategies were devised. But can they be adapted to presidential elections?

BERTRAND HAUCHECORNEMar 29, 2017
Betting on the presidential election: probability and polls | Tangente

Betting on the presidential election: probability and polls | Tangente

To mark the French presidential election, which coincides with Tangente's feature on betting, we are inviting our readers to bet… on the candidates' shares of the vote! It is free to enter, with thousands of euros in vouchers to be won.

GILLES COHENApr 5, 2017