For \(n>2\), let \(a ∈ \{0, 1\}^n\) be a non-zero vector. Suppose that \(x\)…

For $n>2$, let $a ∈ \{0, 1\}^n$ be a non-zero vector. Suppose that $x$ is chosen uniformly at random from $\{0,1\}^n$. Then, the probability that $\displaystyle{} \Sigma_{i=1}^n a_i x_i$ is an odd number is _________ .