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Published online by Cambridge University Press: 18 August 2016
It is one of the fundamental theorems of the Doctrine of Probability that, “If a compound event consists in the concurrence of two or more independent simple events, that is, events the happening or failing of any of which has no influence on the happening or failing of any of the others, the probability of the compound event is equal to the product of the probabilities of the simple events.”
page 288 note * Heym in Masius's Rundschau for 1855, page 332–3, and in his pamphlet “Die Kranken-und Invaliden-Versicherung, 1863.” Wiegand in his pamphlets, “Mathematische Grundlagen für Eisenbahn-Pensionskassen, 1859;” and “Versicherung gegen Erwerbsunfähigkeit, 1865.”
page 289 note * See page 256 of the sixth volume of this Journal.
page 289 note † The greatest difference between the probabilities of death at the ages 20–80. according to formulas (I) and (IV), is± 0·00003.