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            Here is a random game with a spinner with, 6,  outcomes

                                [1, 2, 3, 4, 5]

                                  plus the Fox

                   A board of size , 40, that looks like this

[0, 5, 2, 5, 6, 2, 3, 4, 4, 6, 5, 3, 1, 5, 2, 3, 2, 2, 4, 3, 3, 1, 2, 5, 4, 5,

    6, 2, 3, 2, 6, 4, 1, 5, 3, 1, 6, 5, 6, 4]

                      with , 6, blue squares at locations

                             {4, 8, 15, 17, 24, 32}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.64545494273797319058

             The expected number of chicks , 39.340350174832365804

              The expected number of turns , 11.221103947570275682

       The expected number of turns if winning is , 10.502765636880968774

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

The prob. of winning is, 0.64976000000000000000,

    which deviates from the theoretical value by, -0.00430505726202680942

The expected number of chicks , 39.346970000000000000,

    which deviates from the theoretical value by, -0.006619825167634196

The expected number of turns , 11.218910000000000000,

    which deviates from the theoretical value by, 0.002193947570275682

The expected number of turns if winning is , 10.502200812607732086,

    which deviates from the theoretical value by, 0.000564824273236688



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

            Here is a random game with a spinner with, 6,  outcomes

                                [1, 2, 3, 4, 5]

                                  plus the Fox

                   A board of size , 40, that looks like this

[0, 4, 5, 5, 3, 1, 4, 3, 4, 5, 6, 5, 3, 4, 2, 2, 2, 1, 2, 6, 1, 1, 2, 2, 3, 3,

    2, 1, 5, 2, 1, 5, 5, 4, 3, 3, 3, 3, 4, 5]

                      with , 6, blue squares at locations

                            {7, 21, 22, 30, 31, 38}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.50378725785032113470

             The expected number of chicks , 39.104522760605787678

              The expected number of turns , 9.1085283377092007291

       The expected number of turns if winning is , 8.0685298668696578978

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

The prob. of winning is, 0.50291000000000000000,

    which deviates from the theoretical value by, 0.00087725785032113470

The expected number of chicks , 39.103720000000000000,

    which deviates from the theoretical value by, 0.000802760605787678

The expected number of turns , 9.1005000000000000000,

    which deviates from the theoretical value by, 0.0080283377092007291

The expected number of turns if winning is , 8.0509832773259628959,

    which deviates from the theoretical value by, 0.0175465895436950019



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

            Here is a random game with a spinner with, 6,  outcomes

                                [1, 2, 3, 4, 5]

                                  plus the Fox

                   A board of size , 40, that looks like this

[0, 1, 4, 4, 1, 3, 3, 4, 2, 4, 5, 2, 3, 1, 3, 2, 1, 5, 6, 2, 4, 1, 1, 6, 6, 5,

    3, 1, 1, 5, 5, 1, 1, 6, 1, 6, 1, 1, 4, 3]

                      with , 6, blue squares at locations

                             {2, 9, 12, 15, 30, 38}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.62582740930746674655

             The expected number of chicks , 39.344693205378910536

              The expected number of turns , 9.1744279318893157527

       The expected number of turns if winning is , 8.4263133077341823402

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

The prob. of winning is, 0.62726000000000000000,

    which deviates from the theoretical value by, -0.00143259069253325345

The expected number of chicks , 39.344830000000000000,

    which deviates from the theoretical value by, -0.000136794621089464

The expected number of turns , 9.1878900000000000000,

    which deviates from the theoretical value by, -0.0134620681106842473

The expected number of turns if winning is , 8.4389886171603481810,

    which deviates from the theoretical value by, -0.0126753094261658408



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

            Here is a random game with a spinner with, 6,  outcomes

                                [1, 2, 3, 4, 5]

                                  plus the Fox

                   A board of size , 40, that looks like this

[0, 2, 2, 6, 5, 3, 5, 6, 3, 4, 3, 1, 3, 2, 2, 3, 2, 6, 3, 6, 1, 4, 3, 2, 4, 2,

    3, 1, 2, 5, 2, 5, 4, 4, 3, 6, 6, 1, 3, 4]

                      with , 6, blue squares at locations

                            {14, 15, 16, 19, 27, 28}

                      Limiting the number of rounds to, 60

                The prob. of winning is, 0.55826483797377336325

             The expected number of chicks , 39.210854626417631434

              The expected number of turns , 9.4746057692585236300

       The expected number of turns if winning is , 8.7720996636932816031

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

The prob. of winning is, 0.55786000000000000000,

    which deviates from the theoretical value by, 0.00040483797377336325

The expected number of chicks , 39.208150000000000000,

    which deviates from the theoretical value by, 0.002704626417631434

The expected number of turns , 9.4761500000000000000,

    which deviates from the theoretical value by, -0.0015442307414763700

The expected number of turns if winning is , 8.7784211092388771376,

    which deviates from the theoretical value by, -0.0063214455455955345