There are games widely played in the 
routine world of gambles, roulette, quiz show 
and the sports excercises.  The object of the game 
is to get the highest score among all of the 
players in the game, from one or two chances of
sampling.  The games of ^^ ^^ Showcase Showdown"
and ^^ ^^ Risky Exchange" are investigated 
as continuous games on the unit square, 
and the optimal strategies for the two players 
and the winning probabilities they can obtain in 
the optimal play are derived.