A casino offers a game that it calls “money in the bag”. The rules of the game are simple: They put a $100 bill and ten $1 bills in a bag, and they shake the bag very vigorously. For $10, you can reach into the bag and pull one thing out. You might get the $100, but more likely you’ll get a lousy dollar. Calculate the expected value of playing this game in the casino. In other words, for each $10 that you spend in order to play this game, how much money should you expect to win back?