# what is the minimum number of points a sample space must contain

1. what is the minimum number of points a sample space must contain in order that there exist n independent events A1, A2,...An，none of which has probability of 0 or 1?
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What are your thoughts? Do you know how to achieve 2^n? –  Did Oct 17 '12 at 6:43
The probability of $A$ should not be one (as stated in the question). I also believe that the answer should depend on $n$, and I think the correct answer is $2^n$. –  Daan Michiels Mar 4 '13 at 10:49