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The Sad State Lottery requires you to select a sequence of three different numbers from zero...

The Sad State Lottery requires you to select a sequence of three different numbers from zero through 48. (Order is important.) You are a winner if your sequence agrees with that drawing, and you are a booby prize winner if your selection of numbers is correct, but in the wrong order. What is the probability of being a winner? What is the probability that you are either a winner or a booby prize winner?

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