Predicting value of E(k,0) for Block cipher with random and secret key
A block cipher, according to its design purpose, is assumed to be a pseudorandom permutation. This means when the key $k$ is chosen at random, $E(k,\cdot)$ can be viewed as a random permutation. Then, $E(k,0)$ is indistinguishable from a random value of the block length, hence unpredictable.