or the follOwing denominations Jack), (queen), (king), and A (ace). The card Q, and K are called race cards. Imagine choosing a card at random from a thoroughly mixed deck. Consider the event that the denomination of the chosen card is at most 4 (counting aces as 14). Which of the following expresses this event as a set? O (44, 40, 44, 4v} O (24, 34, 2, 3+, 24, 34, 2v, 30} O {Ae, 24, 3, 44, A, 2+, 3+, 4, A, 24, 34, 44, AV, 2v, 3v, 4v) O {A+, 24, 34, A, 2+, 3, A4, 24, 34, AV, 2v, 3v} O {24, 34, 44, 2, 3+, 4•, 24, 34, 44, 2v, 3v, 4V) What is the probability of this event? Need Help? Read It

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Educational Content: Understanding Card Probabilities**

**Description of a Standard Deck:**
An ordinary deck of cards has 52 cards, divided into four suits: 
- **Red suits** are diamonds (♦) and hearts (♥).
- **Black suits** are clubs (♣) and spades (♠).

Each suit includes 13 cards of these denominations: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), and A (ace). Cards J, Q, and K are known as face cards.

**Scenario:**
Imagine drawing a card randomly from a well-shuffled deck. Consider the event where the chosen card's denomination is at most 4 (with aces counted as 14). Identify the correct representation of this event as a set:

1. {4♠, 4♦, 4♣, 4♥}
2. **{2♠, 3♠, 2♦, 3♦, 2♣, 3♣, 2♥, 3♥}** (Correct Choice)
3. {A♠, 2♠, 3♠, 4♠, 2♦, 3♦, 4♦, A♦, 2♣, 3♣, 4♣, A♣, 2♥, 3♥, 4♥, A♥}
4. {2♠, 2♦, 3♠, 3♦, A♠, A♦, 2♣, 2♥, 3♣, 3♥}
5. {2♠, 3♠, 4♠, 2♦, 3♦, 4♦, 2♣, 3♣, 4♣, 2♥, 3♥, 4♥}

**Question:**
What is the probability of this event?

**Interactive Element:**
There is an input box for calculating the probability of the event. 

**Need Assistance?**
A "Read It" button is available for further help and explanation on this topic.
Transcribed Image Text:**Educational Content: Understanding Card Probabilities** **Description of a Standard Deck:** An ordinary deck of cards has 52 cards, divided into four suits: - **Red suits** are diamonds (♦) and hearts (♥). - **Black suits** are clubs (♣) and spades (♠). Each suit includes 13 cards of these denominations: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), and A (ace). Cards J, Q, and K are known as face cards. **Scenario:** Imagine drawing a card randomly from a well-shuffled deck. Consider the event where the chosen card's denomination is at most 4 (with aces counted as 14). Identify the correct representation of this event as a set: 1. {4♠, 4♦, 4♣, 4♥} 2. **{2♠, 3♠, 2♦, 3♦, 2♣, 3♣, 2♥, 3♥}** (Correct Choice) 3. {A♠, 2♠, 3♠, 4♠, 2♦, 3♦, 4♦, A♦, 2♣, 3♣, 4♣, A♣, 2♥, 3♥, 4♥, A♥} 4. {2♠, 2♦, 3♠, 3♦, A♠, A♦, 2♣, 2♥, 3♣, 3♥} 5. {2♠, 3♠, 4♠, 2♦, 3♦, 4♦, 2♣, 3♣, 4♣, 2♥, 3♥, 4♥} **Question:** What is the probability of this event? **Interactive Element:** There is an input box for calculating the probability of the event. **Need Assistance?** A "Read It" button is available for further help and explanation on this topic.
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