Correct and thanks for mentioning that. On drag cars the big tires do the stopping.Key words here drag disk brakes. For a street setup you want the front brakes to do most of the work. What he has described is fine on a dry drag strip but way not cool on a wet slippery road way.
If the master cylinder was bad, the pedal would be low, because the rear side has a LOT to do with pedal height.
get a clear 1/2 liter water bottle pour some brake fluid little shake pour out
fill 1/4 way up get some vaccuum line that fits and seals on bleeder screw
loosen bleeder screw attach rubber vaccuum line to bleeder put line into brake fluid in bottle
have someone pump brakes sloooow watch bottle for bubbles stop when bubbles stop tighten bleeder screw
do this on all wheels .\
make sure master cylinder has fluid at all times
done