A "mathematically fair bet" is one in which the amount won will on average equal the amount bet, for example, when a gambler bets, say, "$100 for a 10 percent chance to win $1000 ($100 = .10 x $1000). Assuming diminishing marginal utility of dollars, explain why thi is a fair bet in terms of utility. why is it even a less fair bet when the "house" takes a cut of each dollar bet? So is gambling irrational?