Here is a table showing all 52 cards in a standard deck. Face cards Color Sult Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts AV 2 3 4 5 6 7 8 9 10 JV Q KV Red Diamonds A 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ J+ Q+ K+ Black Spades Ae 24 34 44 54 64 74 84 94 104 Je Q+ Ke Black Clubs A 24 34 4+ 5+ 64 7+ 84 94 104 Je Q4 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. What is the probability that the first card drawn is black and the second card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.

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### Standard Deck of Cards: Explanation and Probability Calculation

**Standard Deck Composition**

A standard deck consists of 52 cards divided into four suits: Hearts, Diamonds, Spades, and Clubs. Each suit has 13 ranks: Ace, Two, Three, Four, Five, Six, Seven, Eight, Nine, Ten, Jack, Queen, and King. For a detailed view, refer to the table below:

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

**Probability Question**

Consider the following scenario:

- A card is drawn at random from a standard deck. This card is not put back into the deck.
- A second card is then drawn at random from the remaining cards in the deck.

**Question:** What is the
Transcribed Image Text:### Standard Deck of Cards: Explanation and Probability Calculation **Standard Deck Composition** A standard deck consists of 52 cards divided into four suits: Hearts, Diamonds, Spades, and Clubs. Each suit has 13 ranks: Ace, Two, Three, Four, Five, Six, Seven, Eight, Nine, Ten, Jack, Queen, and King. For a detailed view, refer to the table below: | Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | Jack | Queen | King | |-------|---------|-----|-----|-------|------|------|-----|-------|-------|-------|--------|------|-------|-------| | Red | Hearts | A♥ | 2♥ | 3♥ | 4♥ | 5♥ | 6♥ | 7♥ | 8♥ | 9♥ | 10♥ | J♥ | Q♥ | K♥ | | Red | Diamonds| A♦ | 2♦ | 3♦ | 4♦ | 5♦ | 6♦ | 7♦ | 8♦ | 9♦ | 10♦ | J♦ | Q♦ | K♦ | | Black | Spades | A♠ | 2♠ | 3♠ | 4♠ | 5♠ | 6♠ | 7♠ | 8♠ | 9♠ | 10♠ | J♠ | Q♠ | K♠ | | Black | Clubs | A♣ | 2♣ | 3♣ | 4♣ | 5♣ | 6♣ | 7♣ | 8♣ | 9♣ | 10♣ | J♣ | Q♣ | K♣ | **Probability Question** Consider the following scenario: - A card is drawn at random from a standard deck. This card is not put back into the deck. - A second card is then drawn at random from the remaining cards in the deck. **Question:** What is the
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