Another important question, what is the goal of the player here? Are you supposed to make the girls lose early if you can? Or are you supposed to avoid that and try to have them stay the entire exam without passing? Because right now, if every "loss" makes them more resistant to your actions then shouldn't you try to ensure that they never leave early?
that's another of my problems - without knowledge it's hard to distract them without making them leave. ANd if you don't make them leave, it's hard to keep all 3 in line without succeeding the exam by winning 5 points during 15 steps.
I called that "balancing is way off".
Needs more testing, but i guess something around 8 out of 15 (maybe 7) should be more suitable.
Just to show some math:
By bad chance (if they succeed always) they get 15*3 points (15 steps - 3 girls) = 45 points
but you have only 15 chanced to distract - by best success there are 30 points which you can barely do anything against.
Also right now, the dumbest girl is able to get 5 points out of 5 steps by chance.
If you can keep control over 1 smart girl by focusing on her, there are still 2 girls left which go out of control.
So either the needed score needs to go up, or the distraction goes up (maybe 2 distractions per turn?).
But this is all guessing - this needs to be tested propperly to be balanced