 But then (2) by the Dutch Book theorem a cunning bettor could assure himself a profit from someone who violates the probability axioms. Since (3) violating the axioms leaves the bettor open to being Dutch Booked (that is, being on the losing side of the Dutch Book) because her degrees of belief make acceptable bets leading to a sure loss, it is concluded that (4) one ought to satisfy the probability axioms (i.e. that probabilism is true). In some presentations, the first premise is strengthened to the claim that the agent actually will accept those bets on \(M\) for which her degree of belief matches the betting quotient, in an effort to tighten the connection between violating the axioms and the sure loss.