It has been said that a Dr. B. Muriel Bristol declined a cup of tea stating that she preferred a cup into which milk had been poured first. The famous statistician R. A. Fisher carried out a test to see if she could tell whether milk was put in before or after the tea. Assume that for the test Dr. Bristol was given eight cups of tea---four in which the milk was put in before the tea and four in which the milk was put in after the tea.

• What is the expected number of correct guesses the lady would make if she had no information after each test and was just guessing?
• Using the result of Exercise Exercise find the expected number of correct guesses if she was told the result of each guess and used an optimal guessing strategy.

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