Entropy is the function of the probabilities in a random variable. If we assume that all outcomes are equally likely, so pi=p=1/Npi=p=1/N p_i = p = 1/N , then the expression for the entropy becomes H=log[N]
see https://chatgpt.com/share/66e3a27e-4778-800b-a148-abe87fc4d416 for quick refresher on formula for entropy