Consider a collection of faculty available to give you advice about your future path in life. since they are busy, each only answers yes or no questions. some are wiser than others, and are more often correct in their advice. you would like, looking back, to have taken the advice of the wisest faculty member, but ahead of time you don’t know who that is. consider the following online algorithm: each time you have a question, you ask all the faculty, and go with a "weighted majority" opinion as follows: