1. The problem statement, all variables and given/known data A clown stands at the side of a swimming pool. In his hand is a bag containing [tex]n[/tex] red balls and [tex]n[/tex] blue balls. At each step he puts his hand into the bag and pulls out a random ball and throws it away. If the ball is red, he makes a step towards the pool and if it is blue, he makes a step away from the pool. What is the probability that the clown falls in to the pool? 3. The attempt at a solution Let R be the probability that he draws a red ball. Let B be the probability he draws a blue ball. P(falling) = R + B[tex]\left[ RR + RB... \right][/tex] I want to do some kind of recursion but I'm not exactly sure if I'm approaching this problem correctly. Any help?