(1) There are six kinds of horse racing in Qi Wang and Tian Ji:
(A，A)、(B，B)、(C，C)； (A，A)、(B，C)、(C，B)；
(A，B)，(B，C)，(C，A)； (A，B)、(B，A)、(C，C)；
(A，C)、(B，A)、(C，B)； (a, c), (b, b), (c, a) ......................., 4 points.
Among them, Tian Ji won only one: (a, c), (b, a), (c, b).
The probability of Tian Ji winning is 1/6. ........................... scored six points.
(2) It is known that the King of Qi will produce a first-class horse A, and if Tian Ji produces a first-class horse A or a first-class horse B, there will be two games left, and Tian Ji will lose at least one. At this time, Tian Ji will fail.
In order to maximize his chances of winning, Tian Ji will beat the inferior horse C in the first game. ............................, eight.
There are two situations in the last two games:
(1) If the King of Qi sends a Chinese horse B in the second game, the possible matches are: (b, a), (c, b) or (b, b), (c, a).
The probability of Tian Ji winning is 1/2. .................... 10 point
(2) If the King of Qi sent the inferior horse C in the second game, the possible matches are:
(c, a), (b, b) or (c, b), (b, a).
So is Tian Ji's chances of winning.
∴ Tian Ji will go out in the order of C, A, B or C, B, A, so the maximum probability of winning can reach 1/2.