Here is a table showing all 52 cards in a standard deck. Suit Ace Two Three Four Five Six Seven Eight Nine Ten Hearts A Red Diamonds 4 2 3 Spades A Color Red Black Black Clubs 10 10 Face cards Jack Queen King Suppose a card is drawn at random from a standard deck. The card is then shuffled back in the deck. Then for a second time a card is drawn at random from the deck. X Q4 K 24 K What is the probability of first drawing a spade and then a king? Do not round your intermediate computations. Round your final answer to four decimal places. (If necessary, consult a list of formulas.)

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Chapter1: Starting With Matlab
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Here is a table showing all 52 cards in a standard deck:

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

**Problem Description:**

Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then, for a second time, a card is drawn at random from the deck.

**Question:**  
What is the probability of first drawing a spade and then a king?  
(Note: Do not round your intermediate computations. Round your final answer to four decimal places.)

**References:**  
If necessary, consult a [list of formulas](#).

---

**Control Elements:**

- Input Box for Answer
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This exercise involves calculating probabilities with replacement, reinforcing concepts relating to independent events and probability calculations within a standard deck of playing cards.
Transcribed Image Text:Here is a table showing all 52 cards in a standard deck: | Color | Suit | Ace | Two | Three | Four | Five | Six | Seven | Eight | Nine | Ten | Face cards | |-------|----------|-------|------|-------|-------|-------|-------|-------|-------|-------|-------|-------------| | Red | Hearts | ♥ A | ♥ 2 | ♥ 3 | ♥ 4 | ♥ 5 | ♥ 6 | ♥ 7 | ♥ 8 | ♥ 9 | ♥ 10 | Jack, Queen, King | | Red | Diamonds | ♦ A | ♦ 2 | ♦ 3 | ♦ 4 | ♦ 5 | ♦ 6 | ♦ 7 | ♦ 8 | ♦ 9 | ♦ 10 | Jack, Queen, King | | Black | Spades | ♠ A | ♠ 2 | ♠ 3 | ♠ 4 | ♠ 5 | ♠ 6 | ♠ 7 | ♠ 8 | ♠ 9 | ♠ 10 | Jack, Queen, King | | Black | Clubs | ♣ A | ♣ 2 | ♣ 3 | ♣ 4 | ♣ 5 | ♣ 6 | ♣ 7 | ♣ 8 | ♣ 9 | ♣ 10 | Jack, Queen, King | **Problem Description:** Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the deck. Then, for a second time, a card is drawn at random from the deck. **Question:** What is the probability of first drawing a spade and then a king? (Note: Do not round your intermediate computations. Round your final answer to four decimal places.) **References:** If necessary, consult a [list of formulas](#). --- **Control Elements:** - Input Box for Answer - Check Button - Explanation Button This exercise involves calculating probabilities with replacement, reinforcing concepts relating to independent events and probability calculations within a standard deck of playing cards.
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