An abbreviated deck of 20 cards consists of four suits (,,,,,,) and the following denominations (10, Jack, Queen, King, Ace). You pick at random five cards, or a `hand', without replacement.

Compute the probability your hand will consist of a 10, Jack, Queen, King, and Ace of the same suit. One example of such a hand is: (10,J,Q,K,Ace)(10,J,Q,K,Ace).

Compute the probability that you get a three-of-a-kind. For example, (10, 10, 10, J, K).

Compute probability that one observes two Aces and two 's.