Scotty has a Bugatti and parks it in a row of parking spots. He doesn't park in one of the endpoints of the row. After parking his car, he leaves to go skiing. Upon returning, Scotty sees exactly cars are in the parking lot. Assume that all cars park among the open spots uniformly at random and that at most car is in a given spot. Find the probability that Scotty's car is between two vacant spots when and . Round to the nearest thousandth.