D. Borwein, J.M. Borwein and P. Mar e hal July 25, 1999 The Surprise Examination or Unexpe ted Hanging Paradox has long fas inated mathemati ians and philosophers, as the number of publi ations devoted to it attests. For an exhaustive bibliography on the subje t, the reader is referred to [1℄. 1 Herein, the optimization problems arising from an information theoreti avoidan e of the Paradox are ...