Rain, I was just speaking on pure probability that ONE person would draw any combination of 1 to 4 Aces. You lessen the odds even more by adding 10 players to the mix. Now you have to account for the number of cards in the total deck minus the number drawn each round and figure the probability that way.
My point was there is no way in hell it is even close to 20%. I can show you the math on it if you like. In order to do it I will need to know your order in the draw. Wait, I have a better idea, let me give you the equation and you can do the math.
N= number of outcomes
P(r) = probabilities A-Z of each individual event given they are depandant.
The binomial probability for obtaining r successes in N trials is:

where P(r) is the probability of exactly r successes, N is the number of events, and p is the probability of success on any one trial.