I must say your utterly and completely wrong in every part of your post
Wrong
I'm sorry, but your understanding of statistics and probability is sorely lacking. While I havent taught stats since grad school, let me try to explain, Each year, the probability remains exactly the same assuming all applicant remain exactly the same. You are somehow equating, entering the same game twice gives you better odds. All it does is give you another chance with the same odds
Wrong (twice)
Again, you are equating entering the same game again improves your odds. All it does is give you another chance. Reapplicants are accepted at a lower than first time applicants as published by the medical schools themselves (see below). I am sure every adcom will say the same thing. That certainly has been my experience in the past 20 years of doing this.
University of Miami Miller School of Medicine
http://admissions.med.miami.edu/md-programs/general-md/reapplicants
Roughly 20% of the students who apply to the University of Miami Miller School of Medicine in any given year are reapplicants. Data that we have collected indicate they have a lower acceptance rate than do first time applicants
Wrong (yet again)
Most medical schools now recommend a stats course. You need one