Noisy Edge - S1-E12
Factual error: In the beginning of the episode, Charlie is stating that "there is always a solution" and "if there's any limitation it's got to be in the mathematician, not the math". Unfortunately, according to Kurt Godel's incompleteness theorems, this is not true. Simply put, there are mathematical problems that cannot be proven/solved.
Answer: Craps is a casino game where players bet on the outcome of a dice roll. It deals heavily with probabilities and is a favorite of math experts like Charlie. Whatever the odds, though, your chances of winning are much greater than winning the lottery.