[Request] Whats the probability of a perfect market (Catan card Game)?
Hey guys
Some friends and I are playing the Catan Card Game and had a slight disagreement, in which you could help us.
The Catan card Game revolve around trading ressource cards with players or the market (5 cards in the middle of the table). Before the game starts, 5 cards get drawn from the Stack of ressource cards to form the market.
The ressources and number of the cards are:
Clay: 11
Timber: 11
Ore: 16
Sheep: 15
Wheat: 14
Total: 67 cards.
Now to our question:
Whats the probability, that the market is perfectly balanced at the beginning of the game, meaning that every ressource is represented once? (Like in the Pic)
Thanks in advance and have a nice day!