I am developing a 4 players AI based hearts game. Every player has random 13 cards of the 52 cards. I need some probabilities to make the AI.
- In the first move (Everyone has 13 cards), I have 4 cards of Spades. So, other 3 players have total 9 cards of Spades. What is the probability that at least one player has no Spades?
- In the first move (Everyone has 13 cards), I have 4 Spades (3, 4, J, K). I want to play K, what is the probability of getting points (Q of Spades or any Hearts)?, remember that A of Spades > K of Spades.