In Mega Millions, an urn contains balls numbered 1 to 56, and a second urn contains balls numbered 1 to 46. From the ﬁrst urn, 5 balls are chosen randomly, without replacement and without regard to order. From the second urn, 1 ball is chosen randomly. For a $1 bet, a player chooses one set of ﬁve numbers to match the balls selected from the ﬁrst urn and one number to match the ball selected from the second urn. To win, all six numbers must match; that is, the player must match the ﬁrst 5 balls selected from the ﬁrst urn and the single ball selected from the second urn. What is the probability of winning the Mega Millions with a single ticket?
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