 Example. A magician will toss a coin. You know nothing about the coin—it might be a normal coin, it might be two-headed, it might be two-tailed, and it might be biased to any degree. Suppose that in this state of complete ignorance about the coin, you do not assign any probability whatsoever to its landing heads. Suppose that you can either bet on heads or on tails; it costs nothing to bet, and you will win $1 if you bet correctly. But I will pay you an extra $1 if you bet on heads (I especially like bets on heads). Your possible total pay-offs are given by this decision table: