original_query: What is the conditional distribution of the unknown symbol given the observed noisy symbol in the case where the joint distribution is known?
query: What is the conditional distribution of the unknown symbol given the observed noisy symbol in the case where the joint distribution is known?
answer: Given the observed noisy symbol, the unknown symbol is distributed according to a known distribution described by a probability vector.  The i-th entry of this vector represents the probability that the unknown symbol is the i-th element of the alphabet.