As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: a) A(n) 8 of Spade s? (Please enter a reduced fraction.) b) A Heart or Club? (Please enter a reduced fraction.) c) A number smaller than 10 (counting the ace as a 1)? (Please enter a reduced fraction.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Understanding the Composition and Probability of a Deck of Cards

#### Deck Composition
As shown above, a classic deck of cards is made up of 52 cards: 
- 26 are black (comprising spades and clubs)
- 26 are red (comprising hearts and diamonds)

Each color is split into two suits of 13 cards each. Specifically:
- Clubs and spades are black.
- Hearts and diamonds are red.

Each suit is split into 13 individual cards with the following ranks:
- Ace
- 2 to 10
- Jack
- Queen
- King

#### Probability Questions
If you select a card at random, what is the probability of getting the following?

##### a) 8 of Spades
(Please enter a reduced fraction.) 
**Answer:**

##### b) A Heart or Club
(Please enter a reduced fraction.)
**Answer:**

##### c) A number smaller than 10 (counting the ace as a 1)
(Please enter a reduced fraction.)
**Answer:**

### Detailed Explanation of Graph/Diagram
- The diagram displays all cards in a standard 52-card deck, sorted into four rows based on suit (spades, clubs, hearts, diamonds).
- Each row consists of 13 columns representing the 13 ranks in each suit: Ace, 2 through 10, Jack, Queen, and King.
- The two uppermost rows show the black suits (spades and clubs), while the two lower rows show the red suits (hearts and diamonds).
- Each card is visually represented, and labeling indicates the intended sequence and suit classification for easy understanding. 

Through this visual and textual description, users are expected to grasp the basic composition of a deck of cards and practice calculating probabilities based on this knowledge.
Transcribed Image Text:### Understanding the Composition and Probability of a Deck of Cards #### Deck Composition As shown above, a classic deck of cards is made up of 52 cards: - 26 are black (comprising spades and clubs) - 26 are red (comprising hearts and diamonds) Each color is split into two suits of 13 cards each. Specifically: - Clubs and spades are black. - Hearts and diamonds are red. Each suit is split into 13 individual cards with the following ranks: - Ace - 2 to 10 - Jack - Queen - King #### Probability Questions If you select a card at random, what is the probability of getting the following? ##### a) 8 of Spades (Please enter a reduced fraction.) **Answer:** ##### b) A Heart or Club (Please enter a reduced fraction.) **Answer:** ##### c) A number smaller than 10 (counting the ace as a 1) (Please enter a reduced fraction.) **Answer:** ### Detailed Explanation of Graph/Diagram - The diagram displays all cards in a standard 52-card deck, sorted into four rows based on suit (spades, clubs, hearts, diamonds). - Each row consists of 13 columns representing the 13 ranks in each suit: Ace, 2 through 10, Jack, Queen, and King. - The two uppermost rows show the black suits (spades and clubs), while the two lower rows show the red suits (hearts and diamonds). - Each card is visually represented, and labeling indicates the intended sequence and suit classification for easy understanding. Through this visual and textual description, users are expected to grasp the basic composition of a deck of cards and practice calculating probabilities based on this knowledge.
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