Here is a random game with a spinner with, 4,  outcomes

                                   [1, 2, 3]

                                  plus the Fox

                   A board of size , 60, that looks like this

[0, 1, 3, 3, 2, 1, 4, 2, 2, 3, 4, 4, 2, 1, 3, 4, 1, 4, 1, 2, 3, 2, 2, 4, 4, 3,

    3, 1, 2, 1, 4, 1, 2, 2, 3, 3, 4, 2, 2, 4, 1, 1, 3, 4, 1, 2, 1, 2, 3, 4, 3,

    3, 2, 1, 3, 3, 3, 1, 4, 3]

                      with , 8, blue squares at locations

                         {4, 5, 27, 41, 42, 43, 53, 54}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.30565838957465494675

             The expected number of chicks , 57.495066007164722751

              The expected number of turns , 24.357555590646237349

       The expected number of turns if winning is , 20.905221408011232689

               If you simulate it, 100000, times, you would get

The prob. of winning is, 0.30550000000000000000,

    which deviates from the theoretical value by, 0.00015838957465494675

The expected number of chicks , 57.495380000000000000,

    which deviates from the theoretical value by, -0.000313992835277249

The expected number of turns , 24.378440000000000000,

    which deviates from the theoretical value by, -0.020884409353762651

The expected number of turns if winning is , 20.957970540098199673,

    which deviates from the theoretical value by, -0.052749132086966984



                 ---------------------------------------------

            Here is a random game with a spinner with, 4,  outcomes

                                   [1, 2, 3]

                                  plus the Fox

                   A board of size , 60, that looks like this

[0, 3, 1, 1, 4, 1, 3, 2, 3, 1, 4, 4, 3, 1, 1, 2, 1, 2, 2, 4, 3, 4, 4, 2, 2, 1,

    4, 1, 4, 1, 2, 1, 3, 1, 1, 1, 1, 4, 1, 2, 1, 4, 4, 1, 3, 1, 4, 3, 4, 2, 1,

    1, 1, 2, 1, 1, 1, 2, 3, 3]

                      with , 8, blue squares at locations

                        {3, 15, 27, 28, 30, 31, 37, 53}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.11088422221961753687

             The expected number of chicks , 56.430202598737714716

              The expected number of turns , 20.277234218391264013

       The expected number of turns if winning is , 16.794055453410070570

               If you simulate it, 100000, times, you would get

The prob. of winning is, 0.11068000000000000000,

    which deviates from the theoretical value by, 0.00020422221961753687

The expected number of chicks , 56.442530000000000000,

    which deviates from the theoretical value by, -0.012327401262285284

The expected number of turns , 20.229460000000000000,

    which deviates from the theoretical value by, 0.047774218391264013

The expected number of turns if winning is , 16.751626310083122515,

    which deviates from the theoretical value by, 0.042429143326948055



                 ---------------------------------------------

            Here is a random game with a spinner with, 4,  outcomes

                                   [1, 2, 3]

                                  plus the Fox

                   A board of size , 60, that looks like this

[0, 1, 4, 2, 3, 2, 3, 1, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 4, 4, 3, 3, 3, 4, 1, 1,

    3, 1, 4, 4, 3, 4, 2, 1, 1, 2, 3, 3, 2, 1, 3, 4, 1, 3, 3, 1, 2, 3, 1, 1, 4,

    1, 3, 2, 1, 3, 2, 3, 3, 3]

                      with , 8, blue squares at locations

                        {7, 22, 38, 39, 43, 51, 54, 55}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.23258557824404314985

             The expected number of chicks , 57.134638456488154228

              The expected number of turns , 22.272791869295658297

       The expected number of turns if winning is , 18.671873020787499471

               If you simulate it, 100000, times, you would get

The prob. of winning is, 0.23143000000000000000,

    which deviates from the theoretical value by, 0.00115557824404314985

The expected number of chicks , 57.135940000000000000,

    which deviates from the theoretical value by, -0.001301543511845772

The expected number of turns , 22.279560000000000000,

    which deviates from the theoretical value by, -0.006768130704341703

The expected number of turns if winning is , 18.659508274640279998,

    which deviates from the theoretical value by, 0.012364746147219473



                 ---------------------------------------------

            Here is a random game with a spinner with, 4,  outcomes

                                   [1, 2, 3]

                                  plus the Fox

                   A board of size , 60, that looks like this

[0, 4, 3, 2, 4, 4, 4, 2, 4, 1, 1, 2, 4, 2, 4, 2, 3, 4, 2, 3, 1, 1, 3, 4, 2, 2,

    2, 1, 3, 2, 3, 4, 1, 3, 4, 1, 2, 3, 4, 1, 1, 4, 3, 2, 3, 1, 1, 3, 1, 4, 3,

    4, 1, 3, 1, 4, 3, 4, 3, 2]

                      with , 8, blue squares at locations

                        {15, 17, 29, 30, 42, 43, 45, 50}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.25186466617035983809

             The expected number of chicks , 57.305700917847369069

              The expected number of turns , 21.294024059910605318

       The expected number of turns if winning is , 17.806515133568681918

               If you simulate it, 100000, times, you would get

The prob. of winning is, 0.25660000000000000000,

    which deviates from the theoretical value by, -0.00473533382964016191

The expected number of chicks , 57.311040000000000000,

    which deviates from the theoretical value by, -0.005339082152630931

The expected number of turns , 21.312920000000000000,

    which deviates from the theoretical value by, -0.018895940089394682

The expected number of turns if winning is , 17.828409976617303196,

    which deviates from the theoretical value by, -0.021894843048621278