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A determinant is chosen at random from the set of all determinant of order 2 with elements 0 or 1 only. Find the probability that the determinant chos

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A determinant is chosen at random from the set of all determinant of order 2 with elements 0 or 1 only. Find the probability that the determinant chosen is nonzero. Select the correct answer from above options

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Correct Answer - A::C Since, determinant is of order `2xx2` and each element is 0 or 1 only `therefore n(S)= 2^4 =16 ` and the determinant is positive are `|(1,0),(0,1)|,|(1,1),(0,1)|,|(1,0),(1,1)|` `therefore " " n(E) =3 ` Thus the required probabitity `= 3/16 `

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