Entries of a \( 2 \times 2 \) determinant are chosen from the set \...

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Entries of a \( 2 \times 2 \) determinant are chosen from the set \( \{-1,1\} \). The probability that determinant has zero
\( \mathrm{P} \) value is

W
(A) \( \frac{1}{4} \)
(B) \( \frac{1}{3} \)
(C) \( \frac{1}{2} \)
(D) none of these
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