No. You could expand the idea to include last slot, or exclude MGLS.
I think the idea of the project is flawed to begin with. Are you doing test solves?
It would seem that way if you are doing an experiment. Of course you can just calculate all the probabilities, but that would too quick and not fun.
Looking back at all my science project experiences, I regret them all. They were all very boring (chemistry stuff with horrible instruments). The people who did psychology always had the most fun. The best project was just a test of reaction time, play let everyone play tetris for a few hours (during class) then test reaction time again.
You could do the same thing with cubing.