### Understanding the Composition and Probability of a Deck of Cards#### Deck CompositionAs 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 QuestionsIf 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.

If the probability of getting selected for each outcome is equal, then such outcomes can be termed…

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.)

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

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

### 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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