The nature and laws of chance. [electronic resource] : Containing, among other particulars, the solutions of several abstruse and important problems. The doctrine of combinations and permutations clearly deduced. A new and comprehensive Problem of great Use in discovering the Advantage or Loss in Lotteries, Raffles, &c. A curious and extensive Problem on the Duration of Play. Problems for determining the Probability of winning at Bowls, Quoits, Cards, &c. A Problem for finding the Trials wherein it may be undertaken that a proposed Event shall happen or fail a given Number of Times. A Problem to find the Chance for a given Number of Points on a given Number of Dice. Full and clear Investigations of two Problems of Mr. De Moivrt's; one of them allowed by that Author to be the most useful on the Subject, but their Demonstrations omitted by him. Two new Methods for summing of Series. The Whole After a new, general, and conspicuous Manner, and Illustrated with a Great Variety of Examples. By Thomas Simpson, F.R.S.