Question

Let be a randomized algorithm computing a function with Pr(() = ()) ≥ 1/3 for every argument of . Assume that one is aware of the fact that Pr(() = ) ≤ 1/4 for any wrong result (i.e., that the probability of computing any specific wrong result is at most 1/4). Can this knowledge be used to design a useful randomized algorithm for ? If so, describe your randomized algorithm and give the analysis of correctness. If not, explain why.