Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Entries of a 2 × 2 determinant are chosen from the set {–1, 1}. The probability that determinant has zero value is
A
B
C
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
C
= 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 
= 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
There are three events A, B, C, one of which must, and only one can, happen; the odds are 8 to 3 ag…
If the letters of the word BANANA are arranged randomly, then find the probability that the word th…
Nine cards are labelled 0, 1, 2, 3, 4, 5, 6, 7, 8. Two cards are drawn at random and put on a table…
Three persons A, B and C speak at a function along with 5 other persons. If the persons speak at ra…
(i)A rectangle is randomly selected from the grid of equally spaced squares as shown.
Find the pro…
In throwing a pair of dice, find whether the two events
(i) E 1 : ‘coming up of an odd number on fi…