## de Mere's Problem

The probability of getting at least one 6'' in four rolls of a single 6-sided Die is

 (1)

which is slightly higher than the probability of at least one double 6 in 24 throws,
 (2)

de Mere suspected that (1) was higher than (2). He posed the question to Pascal, who solved the problem and proved de Mere correct.

Kraitchik, M. A Dice Problem.'' §6.2 in Mathematical Recreations. New York: W. W. Norton, pp. 118-119, 1942.