Question 16
Two bullets are placed in two consecutive chambers of a 6-chamber pistol. The cylinder is then spun. The pistol is fired but the first shot is a blank. Let $p$ be the probability that the second shot is also a blank if the cylinder is spun after the first shot, and $q$ the probability that the second shot is also a blank if the cylinder is not spun after the first shot. Find the smallest integer $N$ such that $N\ge100p/q$.