CPM Homework Help : MC2 Problem 8-23

Think of a standard deck of playing cards that has four suits in two colors: diamonds and hearts are red; clubs and spades are black. Each suit has $13$ cards: an ace, the numbers two through ten, a jack, a queen and a king (the last three are called "face" cards). What is the probability of drawing:

A black $9$ or $10$ ?
Hint (a):
There are $2$ black suits for each card.
So there are $2$ black $9$ 's and $2$ black $10$ 's.
Answer (a):
$\frac{4}{52}$ Can you reduce this number?

A red face card?
Hint (b):
There are $2$ red suits, and each suit has $3$ face cards.
More help (b):
$\frac{\text{number of red face cards}}{\text{number of total cards in a deck}}$

A card less than $5$ ?
Hint (c):
There are $4$ suits. Within each suit, how many cards are less than $5$ ?
Answer (c):
$\frac{4}{13}$