Malinovsky, Yaakov2020-11-172020-11-172021-10-11Malinovsky, Yaakov. “A Note on the Closed-Form Solution for the Longest Head Run Problem of Abraham de Moivre.” The Mathematical Intelligencer 44, no. 3 (September 1, 2022): 267–68. https://doi.org/10.1007/s00283-021-10125-2.https://doi.org/10.1007/s00283-021-10125-2The problem of the longest head run was introduced and solved by Abraham de Moivre in the second edition of his book Doctrine of Chances (de Moivre, 1738). The closed-form solution as a finite sum involving binomial coefficients was provided in Uspensky (1937). Since then, the problem and its variations and extensions have found broad interest and diverse applications. Surprisingly, a very simple closed form can be obtained, which we present in this note.6 pagesen-USThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.Text