in reply to Hangman Assistant
At least in your example, a letter never appears in more than half of the candidates, so the most frequent letter and the closest-to-half-half letter coincide. But imagine if you found out that the actual word contained Q. Then for sure the next most common letter will be a U; but guessing U and getting it right will not give you much new information. Aiming for half-half lets your correct and incorrect guesses both contribute information.