Theseus the rat is in a labyrinth. initially, he is in a chamber with two openings. theseus always chooses one of these two possible directions with equal probability. if he goes to the right, then he needs to walk for three minutes only to come back to his initial position. if he goes to the left, then he needs to walk for one minute before finding a fork in the path. with probability 1/3 he will choose the upwards path to his right, which leads to the exit, after another minute walk. with probability 2/3 he will choose the other way, which after four more minutes walking, will lead to his departing point. what is the expected time that theseus will remain in the labyrinth