1. The problem statement, all variables and given/known data If you have a 52card deck and split it evenly to 4 people (a,b,c,d) then what is the probability that persons a and b have 7 spades and person c has 3 spades. 2. Relevant equations P(A) = |A|/|S| 3. The attempt at a solution I divided up the decks 4 ways. So Persons a and b should have 26 cards total. There's no requirement that one person have more spades than the other. So I collected them together. The chance that they draw 7spades out of the top of the deck should be 13/52 * 12/51 * 11/50.... *7/46 Then the chance that they draw non spades should be: 39/45 * 38/44... * 20/26 For there are still 6 spades in the deck and 19 carded must be drawn. I would do this again for person C, he would be allowed to draw: 6/25 * 5/24 * 4/23 *19/22 * 18/21... * 11/14. I may have messed up that last fraction. Does my logic make sense..?