Juan Caramuel's treatise of the games of dice and the Genoese lotto (Q1282370)

In 1670, the Cistercian monk, later bishop and polyhistor Juan Caramuel y Lobkowitz (1606-1682) published two volumes Mathesis biceps vetus et nova. In the second volume there are 65 pages on Combinatoria (Kybeia on games of dice and Arithmomantica on Genoese lotto). This is a treatise on probability but without mentioning the term probability explicitly. His solutions of the problems are independent of those of Christiaan Huygens (1657 in Latin and 1660 in Dutch). Unfortunately some solutions by Caramuel are not exact as cited by Johan I Bernoulli and by Nicolas I Bernoulli, see also I. I. Todhunter (1865). In this paper Caramuel's work and its link with Huygens's work is discussed. 23 references.