Hall of Infinite Doors

You decide it would be best to create a diversion to aid in your escape. You quickly unlock the cells and the inmates eagerly run down the hallway. As they go through the doors you hear gunshots and a fight ensue. After a few moments several of the inmates are dead but the guards have been taken down. The rest continue onward leaving an opening for you. You creep down the hall and then take a turn the opposite way the inmates are headed. The guards will probably assume you are with the main group giving you time to get out You come to a laundry room but the door is locked. You are sure you can climb through the vents and make your escape. You look at your key ring certain one of them is the right one to unlock this door but there are many keys and this will waste precious time. Luckily you have a lock pick.