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Bus tickets in a certain city contain four numbers, U,V , W, and X. Each of...

Bus tickets in a certain city contain four numbers, U,V , W, and X. Each of these numbers is equally likely to be any of the 10 digits 0, 1, . . . , 9, and the four numbers are chosen independently.Abus rider is said to be lucky if U + V =W + X.What proportion of the riders are lucky?

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