Option A is said to stochastically dominate option B when, for any given probability of events, option A never yields less (e.g., money, or pleasure, or utility) and sometimes yields more. For example, suppose I possess a two-sided coin and am about to flip it. But before I do, I tell you that if you call out heads and you are correct I will pay you $10 and if you call out tails and you are correct then I will pay you $5. If you are wrong I will pay you nothing. In this case, choosing heads stochastically dominates tails because the probability of winning $0 is 0.50 for both options but for the other event (a correct choice), choosing heads pays more than choosing tails.