For this problem, leave your answers in Combinatorics format-do NOT simplify.

A five-card hand is randomly dealt from a well-shuffled deck of 52 cards. Find each of the following probabilities:

1. The hand contains 2 red and 3 black cards
2. The hand contains all of the Aces
3. The hand contains only face cards (Jacks, Queens, Kings)
4. The hand contains either all of the Jacks or all of the Queens
5. The hand contains 4-Aces and 1-King
6. The hand contains 2 pairs (that is two of one kind and two of another)
7. The hand contains 4 of one kind