THE

DOCTRINE

OF

CHANCES:

O R,

A METHOD of Calculating the Probabilities
of Events in PLAY.

THE THIRD EDITION,
Fuller, Clearer, and more Correct than the Former.

By A. DE MOIVRE,

Fellow of the ROYAL SOCIETY, and Member of the ROYAL ACADEMIES
OF SCIENCES of Berlin and Paris.

To the RIGHT HONOURABLE the

Lord CARPENTER. *

MY LORD,

HERE are many People in the World who are prepoffeffed with an Opinion, that the Doctrine of Chances has a Tendency to promote Play; but they foon will be undeceived, if they think fit to look into the general Design of this Book: in the mean time it will not be improper to inform them, that your Lordship is pleased to espouse the Patronage of this fecond Edition; which your ftrict Probity, and the distinguished Character you bear in the World, would not have permitted, were not their Apprehenfions altogether groundless.

*This Dedication. was prefixed to the 2d Edition.

Your