When you give a casino $20 for a bet on the “pass line” in a dice game, there is a 251/495 probability that you will lose $20 and there is a 244/495 probability that you will make a net gain of $20. (If you win, the casino gives you $20 and you get to keep your $20 bet, so the net gain is $20.) What is your expected value? In the long run, how much do you lose for each dollar bet?