Hi, I was wondering does anyone have any idea of how these strategic options should influence one another.

Say for example we decided for what ever reason that we should c/c 66.66% of the time with our range and fold 33.33% of the time if not we are going to get exploited. (just a assumption to set up the sub game)

Now I want to include some c/r hands. How does that affect my whole checking range? Should it now look like

c/f 33.33%
c/c 55.55%
c/r 11.11%

Or does including a c/r strategy lets you fold more without being exploited? like:

c/f 40%
c/c 50%
c/r 10%

Any theory or maths is welcome.