A famous problem in probability theory is the following: if an “ace” is the occurrence of the number “one” on the toss of a die, find the probabilities of

(a) obtaining at least one ace in four tosses of a fair die

(b) obtaining at least one “double ace” in twenty-four tosses of a pair of fair dice.

If you were given a chance to gamble on event

(a) or event (b), which would you prefer to gamble on? (Assume that you must choose one of the two gambles.)