Here is a probability variant of a three-card Monte game used by street hustlers. You are shown three cards: one black on both sides, one white on both sides, and one white on one side and black on the other. The three cards are dropped into an empty bag and you slide one out; it happens to be black on the side that is showing. The operator of the game says, “We know that this is not the double-white card. We also know that it could be either black or white on the other side. I will bet $5 against your

$4 that it is, in fact, black on the other side.” Can the operator make money from such bets without cheating?