b. 4 November 1744 Basel, Switzerland
d. 13 July 1807 Berlin, Germany
Johann III, son of Johann II and grandson of Johann
I, at the invitation
of Frederick II, went to the Berlin Academy to reorganize the
in 1764. Between 1766 and 1775 he published in the Histoire de
des sciences et belles lettres de Berlin in which may be found two
concerning probability. In general, his papers are of little interest.
un probleme de la Doctrine du Hazard," Histoire de l'Academie
des sciences et belles lettres de Berlin for 1768, (1770), pp.
This paper concerns the following problem: Any number of persons of one same age, half men, half women, are married together the same year, to find the probability that, the half of this complete number of married persons being dead, all the marriages will be broken.
This paper is only slightly related to that of Daniel Bernoulli "De duratione matrimoniorum media pro quacunque coniugum aetate, aliisque quaestionibus affinibus." Novi Commentarii Acad. Petrop. Vol. XII, 1766/7 (1768), pp. 99-126. See also the paper by Jean Trembley: "Observations sur les calculs relatifs à la durée des mariages et au nombre des époux subsistans." Mémoires de l'Académie des sciences et belles-lettres...Berlin, 1799/1800, pp. 110-130. It was published in 1803.
"Sur les suites ou
séquences dans la loterie de Genes," Histoire de
l'Academie des sciences et belles lettres de Berlin for 1769, Vol.
25 (1771), pp. 234–253.
On the Genoese lottery, see the several papers of Leonard Euler where are linked a large number of other related works. In this lottery there are 90 tickets numbered consecutively from among which 2, 3,4 or 5 are drawn at random. Jean Bernoulli seeks the probability distribution of sequences formed by these extracted tickets. The numbers are assumed to be arranged as in a circle so that 90-1 forms a sequence of length 2, 89-90-1 a sequence of length 3 and so forth. Nicolaus Béguelin unites the work of Euler and Bernoulli in a paper published in the Acta Helvetica in 1765.
Besides these, to him is attributed the entry Milieu in the Encyclopédie Methodique. Its three volumes devoted to mathematics were published in 1784, 1785 and 1789 respectively. The article summarizes the work of others. These include Josef Boskovich, Johann Heinrich Lambert, Daniel Bernoulli and Joseph Lagrange. The paper of Daniel Bernoulli was later published as Dijudicatio maxime probabilis plurium observationum discrepantium; atque verisimillima inductio inde formanda. The account given does not correspond to that published in Acta Acad. Petrop. for 1777, pars prior with date of publication 1778. The memoir of Lagrange is "Mémoire sur l'utilité de la méthode de prendre le milieu entre les résultats de plusieurs observations; dans lequel on examine les avantages de cette méthode par le calcul des probabilités; et où l'on résoud différens problèmes relatifs à cette matiére," published in Miscellanea Taurinensia Vol. V for 1770-1773, pp. 167 - 232 of the mathematical portion.
Birkhäuser Verlag plans an edition of Johann III Bernoulli, Werke.