### Home > MC2 > Chapter 8 > Lesson 8.1.2 > Problem8-23

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:

1. A black $9$ or $10$?

There are $2$ black suits for each card.
So there are $2$ black $9$'s and $2$ black $10$'s.

$\frac{4}{52}$ Can you reduce this number?

1. A red face card?

There are $2$ red suits, and each suit has $3$ face cards.

$\frac{\text{number of red face cards}}{\text{number of total cards in a deck}}$

1. A card less than $5$?

There are $4$ suits. Within each suit, how many cards are less than $5$?

$\frac{4}{13}$