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Probability question

2019 · Shift 1 · Q31
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Probability question

2019 · Shift 1 · Q31

JEE AdvancedMathematicsProbabilityNumerical+3 / −1
Let S be the sample space of all 3 ×\times× 3 matrices with entries from the set {0, 1}. Let the events E1 and E2 be given by E1 = {A ∈\in∈ S : det A = 0} and E2 = {A ∈\in∈ 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 ...............
Numerical answer
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