in the lawsuit question the constitutionality of the Detroit casino-licensing where D represents the sharing discount, E[ ] represents an expected value function, and n is a random variable that assigns a probability p(n), to all possible purchase quantities of a particular set of play indicia assuming that at least one set of play indicia is purchased (n?1). For example, p(n=3)=0.3, indicates that there is a thirty percent chance that a particular set of play indicia will be purchased three times, given that it is purchased at least once. The function E[ ], the expected value function, takes the expected value over its argument. A more simplified formula for the sharing discount would be:
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