ProbabilityHard

Question

Entries of a 2 × 2 determinant are chosen from the set {-1, 1}. This probability that determinant has zero value is

Options

A.1/4
B.1/3
C.1/2
D.none of these

Solution

= ad - bc = 0  ⇒             where ad = 1, bc = 1 or ad = - 1, bc = - 1
which occur in eight ways. Total number of 2 × 2 determinants from {-1, 1} is 16.
Thus required probability is

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