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KöMaL 2024 B5409

    Each card in a deck of german suited playing cards has a suit and a value. The suit can be Hearts, Bells, Leaves or Acorns, and the value can be VII, VIII, IX, X, Unter, Ober, King or Ace. The deck contains all possible combinations of the suits and the values. We arrange the 32 cards of a deck in 4 rows and 8 coloumns. Let AA denote the random event that no coloumn contains two cards with the same suit, and let BB denote the random event that no row contains two cards with the same value. Which of the two events has the larger probability?

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