Question

Say that every single class in Full Sails Masters Degree in Game Design has a 5% failure rate per month. Say also that when a student fails once, he or she drops from the program. There are twelve months. Given a cohort of 100 that starts the program, about how many are left after twelve months? Remember that someone can only pass or fail.

Answer 1

If there is a 5% drop every month, then the class becomes 1-5%=1-0.05=0.95 times the previous size.

The formula for $t$ months would be
$100*0.95^{t}$
so for 12 months it would be
$100*0.95^{12}\approx 54$