Mathematics

Mathematics

Problem

Let P(A)=0.4P(A)=0.4, P(B)=0.5P(B)=0.5 and P(A∩B)=0.2P(A\cap B)=0.2. Which statement about the independence of AA and BB is correct? a) Not independent, because independent events must have P(A∩B)=0P(A\cap B)=0 b) Not independent, because 0.4×0.5=0.45≠0.20.4\times0.5=0.45\neq0.2 c) Independent, because 0.4×0.5=0.20.4\times0.5=0.2 d) Cannot be decided from the given data

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