Mary is lost in a strange town and asks for directions to the highway. Onethird of the town residents are friendly but forgetful and have poor sense of direction. They give the correct answer to the question 75% of the time. Their answers are random and independent even if asked the question multiple times. The other residents are mean and always give the wrong answer. Mary asks, "Is the highway East or West?" to the same person three times. They answer "West" all three times. Is it more likely than not that the highway is West?