Home
Class 12
MATHS
Entries of a 2 xx 2 determinant are chos...

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

A

`1/4`

B

`1/3`

C

`1/2`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 6

    KVPY PREVIOUS YEAR|Exercise EXERCISE|23 Videos

  • MOCK TEST 8

    KVPY PREVIOUS YEAR|Exercise EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Entries of a 2xx2 determinant are chosen from the set {-1,1} .The probability that determinant has zero value is

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.

A matrix is chosen at random from the set of all 2 xx 2 matrices with elements 0 and 1 only. The probability that determinant is positive, is

A determinant is chosen randomly from the set of all determinant of order 4 with elements 2 and 3 .The probability that determinant chosen will have an even number of 2's is 1) (2^(15)-2)/(16) 2) (2^(15)-2)/(2^(16)) 3) (2^(8)-1)/(2^(16)) 4) (2^(15)-1)/(2^(16))

A determinant is chosen at random from the set of all determinants of order two with elements 0 or 1 only. Probability that the determinant chosen has positive value is

A 2xx2 determinant is formed with entries 1,-1. The no.of determinants whose value is 0 is

Let x be a non-zero real number. A determinant is chosen from the set of all determinants of order 2 with entries x or -x only. The probability that the value of the determinant is non-zero is