How did Christiaan Huygens spread ideas from the correspondence between Pierre de Fermat and Blaise Pascal?

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Pierre de Fermat Fermat, portrait by Roland Lefèvre; in the Narbonne City Museums, France

Christiaan Huygens helped spread the mathematical ideas developed during the 1654 correspondence between Pierre de Fermat and Blaise Pascal by publishing them in his own work, De Ratiociniis in Ludo Aleae (1657).1

This short treatise on games of chance utilized the strategies for solving probability problems that Pascal had established during his exchange with Fermat. Rather than defining a fair game based on the equality of chances, Huygens derived his methods from the concept of an equal exchange, which served as a foundational notion for fair contracts in the 17th century. By formalizing and publishing these concepts, Huygens played a key role in disseminating the early theory of probability to the broader mathematical community.21