One of the clients for the consultancy firm you work for operates an escape room. Their escape room has 14 rooms, with an exit in both room 1 and 14. The puzzles have been setup so that there is a 0.3 probability of moving forward and a 0.4 probability of moving backwards (and a probability of 0.3 of remaining at the same puzzle). They are currently running a competition with an entry cost of $50 and a prize of $200 if contestants exit room 14. Assumes that contestants start in room 10. They would like you to find the expected loss for each contestant.