In a golfball production line, a golfball produced with no logo is called defective; all other golfballs are called good. A quality assurance engineer performing statistical process control observes...

In a golfball production line, a golfball produced with no logo is called defective; all other golfballs are called good. A quality assurance engineer performing statistical process control observes that only 1 out of 12 defective golfballs is produced after another defective ball, with no good balls between, whereas 15 out of 18 good balls are produced following good balls, with no defective balls between. Find the fraction of golfballs produced with no logo.