Let M be a secret message revealing the recipient of a scholarship. Suppose there was one female applicant, Anne, and three male applicants, Bob, Doug, and John. It was initially thought each applicant had the same chance of receiving the scholarship; thus p(Anne) = p(Bob) = p(Doug) = p(John) = 1/4. It was later learned that the chances of the scholarship going to a female were 1/2. Letting S denote a message revealing the sex of the recipient, compute Hs(M)