oh god , here we go again.! ~X(
this ^^^ kind of mathematical nonsense spouted by @adezar2 is trotted out by someone every year.
INCREASING the number of top colleges you apply to does NOT increase your chances of acceptance at any one college.
EACH application is like placing a bet on a lottery ticket. IN SEPARATE LOTTERIES.
Does you chance of winning one go up because you bought tickets in 11 other lotteries?? NO!
Mathematically, your chances of winning the lottery in 1 state has no effect on your “chances” of winning another in a separate state. The same goes for College admissions. ~X(