Q: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.\nWhat is the expected amount of time it will take for the rat to finish the maze?\nOptions:\n(A) 5min\n(B) 6min\n(C) 7min\n(D) 8min\n(E) 9min Let's give some random thoughts before answering.
User
Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes.
Therefore, the answer is (E).
Assistant