Here is a table showing all 52 cards in a standard deck. Face cards Color Jack Queen King Suit Ace Two Three Four Five Six Seven Eight Nine Ten 9♥ 10 J♥ Red Hearts A 2♥ 3♥ 4 5 6 Q♥ K♥ 7♥ 8♥ 7+ 8+ Red Diamonds 4 2+ 3+ 4+ 5 6 9♦ 10♦ J♦ Q+ K♦ Black Spades de 24 34 44 54 60 74 84 94 104 J 04 K Black Clubs 4 2 3 4 5 6 74 84 94 104 J Q+ K+ A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a six, the second card drawn is a face card, and the third card drawn is a six? Do not round your intermediate computations. Round your final answer to four decimal places. 0 X 5 P

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Title: Understanding the Standard Deck of 52 Cards**

**Introduction:**
A standard deck of cards consists of 52 unique cards divided into four suits: Hearts, Diamonds, Spades, and Clubs. Each suit contains thirteen cards, labeled Ace through Ten, and three face cards: Jack, Queen, and King.

**Table: Distribution of Cards in a Standard Deck**

| Color | Suit     | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | 
|-------|----------|-----|-----|-------|------|------|-----|-------|-------|------|-----|
| Red   | Hearts   | A♥  | 2♥  | 3♥    | 4♥   | 5♥   | 6♥  | 7♥    | 8♥    | 9♥   | 10♥ |
| Red   | Diamonds | A♦  | 2♦  | 3♦    | 4♦   | 5♦   | 6♦  | 7♦    | 8♦    | 9♦   | 10♦ |
| Black | Spades   | A♠  | 2♠  | 3♠    | 4♠   | 5♠   | 6♠  | 7♠    | 8♠    | 9♠   | 10♠ |
| Black | Clubs    | A♣  | 2♣  | 3♣    | 4♣   | 5♣   | 6♣  | 7♣    | 8♣    | 9♣   | 10♣ |

**Table: Face Cards in a Standard Deck**

| Face Cards | Jack | Queen | King  |
|------------|------|-------|-------|
| Hearts     | J♥   | Q♥    | K♥    |
| Diamonds   | J♦   | Q♦    | K♦    |
| Spades     | J♠   | Q♠    | K♠    |
| Clubs      | J♣   | Q♣    | K♣    |

**Probability Scenario:**

A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at
Transcribed Image Text:**Title: Understanding the Standard Deck of 52 Cards** **Introduction:** A standard deck of cards consists of 52 unique cards divided into four suits: Hearts, Diamonds, Spades, and Clubs. Each suit contains thirteen cards, labeled Ace through Ten, and three face cards: Jack, Queen, and King. **Table: Distribution of Cards in a Standard Deck** | Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | |-------|----------|-----|-----|-------|------|------|-----|-------|-------|------|-----| | Red | Hearts | A♥ | 2♥ | 3♥ | 4♥ | 5♥ | 6♥ | 7♥ | 8♥ | 9♥ | 10♥ | | Red | Diamonds | A♦ | 2♦ | 3♦ | 4♦ | 5♦ | 6♦ | 7♦ | 8♦ | 9♦ | 10♦ | | Black | Spades | A♠ | 2♠ | 3♠ | 4♠ | 5♠ | 6♠ | 7♠ | 8♠ | 9♠ | 10♠ | | Black | Clubs | A♣ | 2♣ | 3♣ | 4♣ | 5♣ | 6♣ | 7♣ | 8♣ | 9♣ | 10♣ | **Table: Face Cards in a Standard Deck** | Face Cards | Jack | Queen | King | |------------|------|-------|-------| | Hearts | J♥ | Q♥ | K♥ | | Diamonds | J♦ | Q♦ | K♦ | | Spades | J♠ | Q♠ | K♠ | | Clubs | J♣ | Q♣ | K♣ | **Probability Scenario:** A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at
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