I am writing a book on double deck pinochle and need to get accurate percentages. I am hoping this forum is willing and able to help me! If I am in the wrong forum, and someone could direct me to a more appropriate forum, that would be greatly appreciated. Knowing what double deck pinochle is, is irrelevent to solving the problem. The problem is this: There are 80 cards in a pinochle deck with four suits: Hearts, Spades, Clubs, and Diamonds. 20 cards per suit. It is a 4 player game, each player gets dealt 20 random cards. My question is: In my hand I have X number of cards in one suit, I want to know the percentage of times (20-X) will split between the other 3 players. For example: If I have 8 cards in my hand, leaving 12 cards to be split among the other 3 players: 12-0-0 ?% 11-1-0 ?% 10-1-1 ?% 9-3-0 ?% 9-2-1 ?% etc, etc, etc I need to know the split percentages when I have 5 cards in my hand all the way up to 18 cards in my hand. Hopefully this makes sense. If it doesn't please reply and I will clarify. I have no background in Prob/Stat so I am completely at the mercy of others. Thanks in advance for the help. My email is rakbeater at gmail.com if that is needed for any reason. Thanks again!