You will note the wheel has 38 slots. There are two green slots (labeled 0, 00) and 36 slots which alternate red/black and are numbered 01-36. A player participates by tossing a small ball around the wheel as the wheel spins, and the ball lands in one of the 38 slots. The goal is for the ball to land in a slot that the player predicted it would, and bet money on happening. Define the following events:
E = The ball lands in an even numbered slot
M = The ball lands in a slot that is numbered a multiple of three (3, 6, 9, 12, etc...)
Use the given information to calculate the probability of event M. Assume for the sake of this problem that we do NOT consider 0 or 00 a multiple of 3. Round your answer to four decimal places.