Miscellaneous Investigations between 1700 and 1750

1709 Nicholas Bernoulli, Nicholas Bernoulli contributed in several ways. Most important is his doctoral dissertation De Usu Artis Conjectandi in Iuris. Additionally, we have extensive correspondence with Montmort on his Essai d'Analyse sur les Jeux de Hazard.
1710 Johann Bernoulli, We possess a letter to Montmort commenting on his Essai d'Analyse sur les Jeux de Hazard and in the Opera Johannis Bernoullii (1742) we have a short work of unknown date, De Alea, sive ars conjectandi, which is a collection of 7 problems.
1710 John Arbuthnot Arbuthnot is most famous for his short paper “An Argument for Divine Providence, Taken from the Constant Regularity Observ'd in the Birth of Both Sexes.” which appeared in the Philosophical Transactions 27 published in 1710. In addition, he made a translation of the De Ratiociniis of Huygens which was published in 1692.
1710 Willem 'sGravesande, A response to Arbuthnot's paper was published in the Philosophical Transactions No. 328. He corresponed with both Nicolas I Bernoulli and with Pierre Rémond de Montmort regarding the regularity of births. 'sGravesande also wrote an elementary treatise on probability published in 1736.
1728 Jean Jacques d'Ortous de Mairan. Marain wrote a short paper on the game of Pair ou Non. See also Montmort for a brief comment on the game.
1730 François Nicole. In February and March appeared two papers by Nicole in the Histoire de l'Académie des Sciences Paris on "Examen et Resolution de quelques Questions sur les Jeux" and "Methode." These concern finding the advantage of each player in a game of chance.
1733 Georges-Louis Le Clerc, Comte de Buffon In Supplement IV, Essai d'Arithemétique Morale (1777) to his Histoire naturelle, the study, probably written in 1760, speaks at length on both the game of Franc-carreau and what has come to be known as the Needle Problem. In this same essay he also considers the Petersburg problem for which see both Nicolas Bernoulli and Daniel Bernoulli.
1735 Lud. Mart. Kahle: Elementa logicae probabilium
1740 Thomas Simpson See especially the book The Nature and Laws of Chance.