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Probability Basicshard
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Let A1,A2,A3,A_1, A_2, A_3,A1​,A2​,A3​, and A4A_4A4​ be four events in a sample space SSS. Suppose that P(Ai)=0.85P(A_i) = 0.85P(Ai​)=0.85 for each i∈{1,2,3,4}i \in \{1, 2, 3, 4\}i∈{1,2,3,4}. What is the minimum possible value for the probability of the intersection of all four events, P(A1∩A2∩A3∩A4)P(A_1 \cap A_2 \cap A_3 \cap A_4)P(A1​∩A2​∩A3​∩A4​)?