 Regularity has been defended with a Dutch Book argument—a somewhat nonstandard one. Kemeny (1955) and Shimony (1955) show that any violation of Regularity opens the door to a nonstandard, weak Dutch Book, which is a set of bets that guarantees no gain but has a possible loss. In contrast, a standard Dutch Book has a sure loss. This raises the question whether it is really so bad to be vulnerable to a weak Dutch Book.