April 1, 2015
Problem of the Week
for Tuesday, April 1, 2015
In the first season of the new quiz show called "Hats". A black or white hat is placed on the two teammates' heads, and the pair win the competition if exactly one of them guesses correctly the color of the hat that he wears. Each will see the hat on the other's head but not the one on his own.They have no way of communicating or sending signals to each other once the hats are placed and will not even have the benefit of hearing each other's guess. If they are allowed to meet beforehand to work out a strategy, what plan will guarantee a victory?