Question: 10. From 100 cards numbered 00, 01, . . . , 99, one card is drawn. Suppose that and are the sum and

10. From 100 cards numbered 00, 01, . . . , 99, one card is drawn. Suppose that α and β

are the sum and the product, respectively, of the digits of the card selected. Calculate P

????

{α = i | β = 0}



, i = 0, 1, 2, 3, . . . , 18.

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