Single Idea 14280

[catalogued under 14. Science / C. Induction / 6. Bayes's Theorem]

Full Idea

The probability that two events will both happen is the probability of the first [multiplied by] the probability of the second on the supposition that the first happens.

Gist of Idea

The probability of two events is the first probability times the second probability assuming the first

Source

Thomas Bayes (Essay on a Problem in the Doctrine of Chances [1763]), quoted by Dorothy Edgington - Conditionals (Stanf) 3.1

Book Reference

'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.10