Probability Problems Involving Cards

A standard deck has 52 cards with 4 suits, namely, hearts (♥), diamonds (♦), clubs (♣), and spades (♠). Hearts and diamonds are color red while clubs and spades are color black. Cards in each suit contains 3 face cards (jack, queen, and king) and 10 numbered cards. The card numbered as 1 is called ace.
 

The following are the complete list of standard cards:

A♥ A♦ A♣ A♠
2♥ 2♦ 2♣ 2♠
3♥ 3♦ 3♣ 3♠
4♥ 4♦ 4♣ 4♠
5♥ 5♦ 5♣ 5♠
6♥ 6♦ 6♣ 6♠
7♥ 7♦ 7♣ 7♠
8♥ 8♦ 8♣ 8♠
9♥ 9♦ 9♣ 9♠
10♥ 10♦ 10♣ 10♠
J♥ J♦ J♣ J♠
Q♥ Q♦ Q♣ Q♠
K♥ K♦ K♣ K♠

 

Some useful details:

Number of cards in each suit = 13
Number of red cards = 26
Number of black cards = 26 		Number of face cards = 12
Number of cards per denomination = 4
Total number of cards = 52

 

Example
A card is drawn from a deck of 52 cards, what is the probability that it is a face card?
 

Solution
$P = \dfrac{12}{52} = 0.231$
 

Tags
Standard Game Cards
Deck of 52 Cards
Card Suits
Probability of Cards