The manager for Select-a-Seat, a company that sells tickets to athletic games, concerts, and other events, has determined that the number of people arriving at the Broadway location on a typical day is Poisson distributed with a mean of 12 per hour. It takes approximately four minutes to process a ticket request.

Thus, if customers arrive in intervals that are less than four minutes, they will have to wait. Assuming that a customer has just arrived and the ticket agent is starting to serve that customer, what is the probability that the next customer who arrives will have to wait in line?