The Bets of the Chevalier de mre. It is said that probability theory was invented in the

The Bets of the Chevalier de mère. It is said that probability theory was invented in the 17th century to explain the gambling of a nobleman named the Chevalier de Mère.

a. In his first game, the Chevalier bet on rolling at least one 6 with four rolls of a fair die. If played repeatedly, is this a game he should expect to win?

b. In his second game, the Chevalier bet on rolling at least one double-6 with 24 rolls of two fair dice. If played repeatedly, is this a game he should expect to win?