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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 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 ____
    Correct answer is '0.50'. Can you explain this answer?
    Most Upvoted Answer
    Let S be the sample space of all 3 × 3 matrices with entries fro...
    According to question
    no. of different possible matrics
    =91/7!2! =>n(E2)=36
    for E1|A|=0
    since no. of matrics such that their determinant is zero
    (6)3!/2!= 18(E1nE2)
    hence required probability
    p=18/36=1/2=0.50
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    Community Answer
    Let S be the sample space of all 3 × 3 matrices with entries fro...
    n(E2) = 9C2 (as exactly two cyphers are there)
    Now, det A = 0, when two cyphers are in the same column or same row

    Hence, 
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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 andE2 be given byE1 = {A ∈ S : det A = 0} andE2 = {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 ____Correct answer is '0.50'. Can you explain this answer?
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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 andE2 be given byE1 = {A ∈ S : det A = 0} andE2 = {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 ____Correct answer is '0.50'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let S be the sample space of all 3 × 3 matrices with entries from the set {0, 1}. Let the events E1 andE2 be given byE1 = {A ∈ S : det A = 0} andE2 = {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 ____Correct answer is '0.50'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S be the sample space of all 3 × 3 matrices with entries from the set {0, 1}. Let the events E1 andE2 be given byE1 = {A ∈ S : det A = 0} andE2 = {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 ____Correct answer is '0.50'. Can you explain this answer?.
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