In the 1930s, Butts, an unemployed architect, invented a game called Lexiko, in which players drew lettered tiles from a pool and then attempted to form words. After unsuccessful attempts to sell the game to board-game makers, Butts sold the rights to entrepreneur James Brunot, who made a few minor adjustments and renamed the game Scrabble. More than 150 million sets have been sold in multiple languages since. How did Butts determine how many tiles of each letter should be included in the game? Discuss