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
Cowboy hat about 1925. There are multiple theories for how the concept arose. One theory is that the term "ten-gallon" is a corruption of the Spanish modifier , which loosely translates as "really handsome" or "so fine". For example, "" translates as "such a fine hat". Another theory is that the term "ten-gallon" is a corruption of the Spanish term , which means "galloon", a type of narrow braided trim around the crown, possibly a style adapted by Spanish cowboys. When Texas cowboys misunderstood the word for "gallon", the popular, though incorrect, legend may have been born. According to Reynolds and Rand,