Let S be the sample space of all 3 x 3 matrices with entries from the set {0, 1}. Let the events E₁ and E₂ be given by
E₁ = {A ∊ S : det A = 0} and
E₂ = {A ∊ S : sum of entries of A is 7}
If a matrix is chosen at random from S, then the conditional probability P(E₁ /E₂ ) equals _____
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very difficult question to answer
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