Five real numbers between 0 and 1 are chosen at random, with uniform probability distribution. The player is shown each number in turn and asked whether he believes it to be the largest of the five. If the player guesses wrong, the game ends (player loses). If the player guesses correctly that the current number IS the largest, the
player wins. If the player guesses correctly that the current number is NOT the largest, then the player is shown the next number and the game continues.