Ace Pre Gate 2017

Question

All elements of a 2x2 matrix "A" can have values either 0 or 1. The probability that any element gets a value (0 or 1) is 1/2. If all elements of this matrix are chosen at random, what is the probability that the determinant of this matrix is positive?

Comments

@sushant question says determinant should be positive so why have you considered the second case ad < bc?

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oops....got it :)

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I think 12 cases are there when the output of the determinant is positive considering determinant may be zero.
why not
3/4