Consider Example 5o, which is concerned with the number of

Solution:

Step 1 of 2:

       Let denotes the number of wins in the i-th winning streak and

       denotes the number of losses in the i-th losing streak.

      That is,

              The constraint that .

     The number of solutions to the k win runs and k loss runs are given by

                      and 

   There are two possibilities like sequence can start with either x or y, so the total number of outcomes is,

  The total possible equally likely outcomes are

 The probability of 2k runs is