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Problem of the Week

Problem E

Such a Card

Johanna has a deck of cards with the following properties:

  1. Each card in the deck has a positive three-digit integer on it.

  2. There is exactly one card in the deck for every three-digit positive integer.

Johanna randomly selects a card from the deck of cards. Determine the probability that the sum of the digits of the integer on this card is 15.

Card numbered 456.