# Solution: 2021-07 Odd determinant

Let $$A_N$$ be an $$N \times N$$ matrix whose entries are i.i.d. Bernoulli random variables with probability $$1/2$$, i.e.,

$\mathbb{P}( (A_N)_{ij} =0) = \mathbb{P}( (A_N)_{ij} =1) = \frac{1}{2}.$

Let $$p_N$$ be the probability that $$\det A_N$$ is odd. Find $$\lim_{N \to \infty} p_N$$.

The best solution was submitted by 강한필 (전산학부 2016학번, +4). Congratulations!

Here is his solution of problem 2021-07.

Another solution was submitted by 고성훈 (수리과학과 2018학번, +3).

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