Question: If events A1, ...A101 are such that P(A1) = = P(A101)=0.01, P(A1 A2) = P(A1 A3) = = P(A100 A101)

If events A1, ...A101 are such that P(A1) = ··· = P(A101)=0.01, P(A1 ∩ A2) =

P(A1 ∩ A3) = ··· = P(A100 ∩ A101) = r, while every triple intersection is empty, find the smallest possible value of the probability of intersection r.

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