In a game of tennis between two players, suppose the probability of the server winning a point is . Visualize the random walk graph for , with 17 states.
Out[2]=
Find the probability of the server's winning the game for .
In[3]:=
X
Out[3]=
Find the mean time to absorption, that is, the number of points played.
In[4]:=
X
Out[4]=
Find the mean number of states visited.
In[5]:=
X
Out[5]=
Find the average number of times the score will be tied at deuce.