Suppose that a certain shop has a work of art for sale one day each week. On some weeks the artwork is genuine, while on other weeks the artwork is a shameless forgery! Whenever it's genuine, there is a 20% chance it will be a forgery the next week. Whenever it's a forgery, there is a 24% chance it will be genuine the next week. If the artwork is genuine this week, what is the probability it will be genuine again in three weeks from now