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
Noël Gallon Noël Gallon Noël Gallon (11 September 1891 – 26 December 1966) was a French composer and music educator. His compositional output includes several choral works and vocal art songs, 10 preludes, a "Toccata" for piano, a "Sonata" for flute and bassoon, a "Fantasy" for piano and orchestra, an "Orchestral Suite", and the lyrical drama "Paysans et Soldats" (1911). Born in Paris, Gallon was the younger brother of composer Jean Gallon with whom he studied harmony at the Paris Conservatoire. In 1910 he won the Prix de Rome with the cantata "Acis et Galathée". In 1920 he joined the faculty of