Let AAA be a 2×22 \times 22×2 matrix whose entries Aij∼Bernoulli(p)A_{ij} \sim \text{Bernoulli}(p)Aij∼Bernoulli(p) IID. Compute E[det(A−AT)]\mathbb{E}\left[ \det(A - A^T) \right]E[det(A−AT)] when p=2/3p = 2/3p=2/3.