A state originally operated a 6/48 lottery, meaning that the grand prize went to a player (or players) who picked the same six numbers that were later drawn at random from the set of numbers 1 through 48. In 1998, the state went to a 6/61 lottery, but later the state went to a 6/56 lottery. (a) Find the probability of winning a 6/48 lottery. (b) Find the probability of winning a 6/61 lottery. (c) Find the probability of winning a 6/56 lottery.

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