Hat puzzle 5 prisoners answer correctly and 5 do not. Note that the prisoners cannot find a strategy guaranteeing the release of more than 5 prisoners. Indeed, for a single prisoner, there are as many distributions of hat colors where he says the correct answer than there are where he does not. Hence, there are as many distributions of hat colors where 6 or more prisoners say the correct answer than there are where 4 or fewer do so. In this variant, a countably infinite number of prisoners, each with an unknown and randomly assigned red or blue hat line up single
Tom Gallon Tom Gallon Tom Gallon (5 December 1866 – 4 November 1914) was a British playwright and novelist. He was the brother of author and publicist Nellie Tom-Gallon, who founded the Tom-Gallon Trust Award for beginning writers in memory of her brother. A large number of his books were turned into films. Thomas Henry Gallon was born in Bermondsey, London, the son of John P. Gallon (an engineer, fitter and turner) and his wife Martha K. Gallon. Many of Tom Gallon's novels were made into films, including "The Princess of Happy Chance" (1916), "Meg the Lady" (1916), "The Cruise of the