  No matter how much some gamblers occasionally win, as long as they continue
to gamble, sooner or later they will lose more to the casino, which is the
so-called long bet will lose. Our results demonstrate the counter-intuitive
phenomenon, that gamblers involved in long bets will lose but casinos always
advertise their unprofitable circumstances. Here we expose the law of
inevitability behind long bet will loss by theoretically and experimentally
demystifying the profitable mystery behind casinos under two-armed antique
Mills Futurity slot machine. The main results straightforwardly elucidate that
all casino projects are seemingly a fair gamble but essentially unfair, i.e.,
the casino's win rate is greater than 50%. We anticipate our assay to be a
starting point for studying the fairness of more sophisticated multi-armed
Futurity bandits based on the mathematical tool. In application, a fairness
study of the Futurity bandits not only exposes the fraud of casinos for
gamblers but also discloses discount marketing, bundled sales, or other induced
consumption tactics.
