How to calculate betting efficiency for a particular count system. For example, in a barrel there are

100 dark red balls,
100 light red balls,
100 dark blue balls,
100 light blue balls

Each round the casino takes out 1 ball.
I win even money if the ball is dark red
I win 1/2 money if the ball is light red
I lose my bet if the ball is dark blue
I lose 1/2 my bet if the ball is light blue
The casino do not put the ball back after each round. But after 350 rounds, all the balls are put back.

System 1 is +1 for any blue ball, -1 for any red ball
System 2 is +1 for any dark blue ball, -1 for any dark red ball
System 3 is +2 for any dark blue ball, +1 for any light blue ball, -2 for any dark red ball, -1 for any dark red ball
When I decide how much to bet, I divide running count by the number of balls left (ie using TC)

How do I calcucate the BE for the above 3 systems? is it done by Math or Simulation?