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Mathematics, 17.04.2020 17:11 JvGaming2001

A tarot deck consists of $78$ cards. There are $14$ cards in each of $4$ suits (comprising the usual $13$ ranks and a face card called a knight), and there are $21$ picture cards and a joker. The picture cards and the joker do not belong to any suit. A tarot hand consists of $18$ cards drawn at random from the deck. What is the probability that a tarot hand has a void, meaning that at least one suit is not present among the $18$ cards.

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