Part IV — Chapter 13

Pascal & the Birth of Probability

The triangle, the calculator, the wager, and the mathematics of chance

13.1 The Child Prodigy

Blaise Pascal (1623–1662) showed extraordinary mathematical talent from childhood. At 16 he wrote an essay on conic sections, and at 19 invented the Pascaline, one of the first mechanical calculators.

13.2 Pascal's Triangle and Probability

Pascal's Traité du triangle arithmétique (1654) systematically studied binomial coefficients. His correspondence with Fermat about the problem of points founded the mathematical theory of probability. Pascal's famous “wager” is one of the earliest applications of decision theory under uncertainty.