1. The problem statement, all variables and given/known data What is the minimum number of points a sample space must contain in order that there exists n independent events A_1, ..., A_n , none of which has probability zero or one? 2. Relevant equations None at this time 3. The attempt at a solution I was thinking that if each A_i consisted of one point in the sample space, that then they would all be independent. But it seems that this is definitely not the minimum number of points. Any hints at this would be greatly appreciated. Thanks!