In this article, we analyse the situation where a player takes
a high level of risk on the first serve, and either a high or
a low level of risk on the second serve. Similar analyses
could be carried out for when a player takes a medium
or low level of risk on either serve (although the risk on
the second serve should always be no greater than that
taken on the first serve). A player may deviate from the
strategy of taking a high level of risk on the first serve as a
surprise strategy, but this problem is not considered in this
paper. The model considered here allows serving strategies
that are dependent on the type of court surface and the
serving and receiving capabilities of any two top players.
The model is extended to allow for the possibility of
players changing serving strategies throughout the match
in progress. Practical suggestions are given for the use of
these methods by elite players in order to increase their
performance. In particular, match statistics are displayed
on the scoreboard for the players to view, and these statistics
can assist the players as to whether to use two high
risk serves or a typical high risk first serve and low risk
second serve. Given that coaching intervention is allowed
in team competition, this creates even more opportunities
for the use of technology to assist players in determining
serving strategies.