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A determinant is chosen at random from t...

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.

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The correct Answer is:
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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