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Let S be the sample space of all 3 x 3 matrices with entries from the set {0, 1}. Let the events E and

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

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