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A determinant is chosen at random from the set all determinants of order 2 with element 0 and only. The probability that the value of determinant chosen is positive, is A. 11/18 B. 11/14 C. 13/16 D. 3/16

A determinant is chosen at random from the set all determinants of order 2 with element 0 and only. The probability that the value of determinant chosen is positive, is
A. 11/18 B. 11/14 C. 13/16 D. 3/16

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
Your question is not clear and seems to be incomplete.
I think the question is matrix of order 2 and elements are 0,1
then
no. of possibilities of matrix of order 2 are 2*2*2*2=16
if the elements of matrix are a,b,c,d
then determinant of matrix is ad-bc
given ad-bc>0
so a=1,d=1 and b,c should not be equal to 1 simultaneously
so no. of favourable cases are 3
hence probability is 3/16 and D is the correct answer.
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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