Let ${X_n}$ be conditionally i.i.d. given $g subset sigma(X_n, n geq 1)$. We will prove that $g$ is degenerate if and only if ${X_n, n geq 1}$ are i.i.d. random variable(r.v.s). As a corollary the Hewitt-Savage zero-one law is obtained using the fact that interchageable process is conditionally i.i.d. given the $sigma$-algebra of permutable events.