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