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A determinant of second order of is made...

A determinant of second order of is made with the elements 0,1 . What is the probability that the determinant is positive?

A

`(7)/(12)`

B

`(11)/(12)`

C

`(3)/(16)`

D

`(15)/(16)`

Text Solution

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The correct Answer is:
C
Total number of ways=16
the favourable ways are
`|(1,0),(0,1)| |(1,0),(1,1)| |(1,1),(0,1)|`
`therefore` Required probability`=(3)/(16)`
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