(Suggested by Sam Kaufmann, Indiana University MBA, who has run Harrah's Lake Tahoe Casino)
A high roller has come to the casino to play 300 games of craps. For each game of craps played there is a 0.493 probability that the high roller will win $1 and a 0.507 probability that the high roller will lose $1.
After 300 games of craps, what is the probability that the casino will be behind more than $10?