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21.7 Exercises  263


                  that for every round t, the prediction of the algorithm is based on a hypothesis
                  h t : X →{0,1}. Show that
                                                      M A (H)
                                           E[L D (h r )] ≤  ,
                                                        T
                  where the expectation is over the random choice of the instances as well as a ran-
                  dom choice of r according to the uniform distribution over [T ].
                  Hint: Use similar arguments to the ones appearing in the proof of Theorem 14.8.
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