JEE Advanced 2019 Mathematics question
Let be the sample space of all matrices with entries from the set . Let the events and be given by and . If a matrix is chosen at random from , then the conditional probability equals
Answer: 0.5
Solution
A matrix in has seven 1's and two 0's: . If the two zeros lie in the same row (or the same column), the other two rows (columns) consist entirely of 1's and are identical, so : this gives
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