Let S be the sample space of all 3\times3 matrices with entries from the set \{0,1\}.Let the events E_1 and E_2be given by E_1=\{A\inS;\Det A=0\} and E_2=\{A\inS;sum of entries of A is 7 }. If a matrix is chosen at random from S, then the conditional probability P(E_1|E__2) equals_____ [JEE Adv 2019 P1]

Probability

Section: Mathematics

Question : 23 of 52

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Let S be the sample space of all 3×3 matrices with entries from the set {0,1}.Let the events E1 and E2be given by
E1={A∈S;Det‌A=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_____

[JEE Adv 2019 P1]

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