The sad state lottery requires you to select a sequence of four different numbers from 0 through 47. (Order is important.) You are a winner if your sequence agrees with that in the drawing, and you are a fool prize winner if your selection of numbers is correct, but in the wrong order. What is the probability of being a winner? (Enter your probabilities as fractions.) What is the probability of being a fool prize winner? What is the probability that you are either a winner or a fool prize winner?​