From a standard deck of cards, the four Aces, four 2's, four 3's, and four 4's are drawn, forming a smaller deck of cards. All cards are dealt at random to four players, so that each player gets four cards. What is the probability that each player gets an Ace?
We need an ace in each hand of 4, how the rest of the cards go doesn't matter !
The first ace has to be in some group, each of the other aces have to fall in a different group, so the 2nd ace has 39 permissible slots out of 51, and so on.
Thus, the probability is 39/51*26/50*13/49 = 2197/20825.
