The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the letter's point value. One tile is drawn from Scrabble's 100 tiles. Find the probability of selecting a letter worth 8 points. A₁9 B, 2 C. 2 D, 4 E, 12 F.2 K1 P. 2 U₁4 Z₁ G, 3L, 4 Q.1 V, 2 H.2 M, 2 I. 9 N, 6 J, R6 W2 S, 4 OST, 1 6 X 1 Y 2 2 A. Number of tiles 9 Point value

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Chapter1: Starting With Matlab
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**Scrabble Probability Exercise**

The game of Scrabble includes a set of 100 tiles. The diagram below illustrates the number of tiles available for each letter and the corresponding point value assigned to them. Assume one tile is drawn randomly from this collection of 100 tiles.

**Objective:**

Determine the probability of drawing a letter that has a point value of 8.

**Diagram Explanation:**

- Each tile in the diagram is labeled with a letter, followed by two numbers: the number of available tiles for that letter and the point value for the letter.
- Example:
  - **A**: 9 tiles, 1 point
  - **B**: 2 tiles, 3 points
  - **C**: 2 tiles, 3 points
  - **D**: 4 tiles, 2 points
  - **E**: 12 tiles, 1 point

- Letters with a point value of 8:
  - **X**: 1 tile, 8 points

**Probability Calculation:**

To find the probability:
- Identify all tiles with a point value of 8.
- Divide the number of tiles with 8 points by the total number of tiles (100).

**Answer:**

The probability of selecting a letter worth 8 points is:
\[ \frac{1}{100} \]

(Type the probability as an integer or a simplified fraction.)
Transcribed Image Text:**Scrabble Probability Exercise** The game of Scrabble includes a set of 100 tiles. The diagram below illustrates the number of tiles available for each letter and the corresponding point value assigned to them. Assume one tile is drawn randomly from this collection of 100 tiles. **Objective:** Determine the probability of drawing a letter that has a point value of 8. **Diagram Explanation:** - Each tile in the diagram is labeled with a letter, followed by two numbers: the number of available tiles for that letter and the point value for the letter. - Example: - **A**: 9 tiles, 1 point - **B**: 2 tiles, 3 points - **C**: 2 tiles, 3 points - **D**: 4 tiles, 2 points - **E**: 12 tiles, 1 point - Letters with a point value of 8: - **X**: 1 tile, 8 points **Probability Calculation:** To find the probability: - Identify all tiles with a point value of 8. - Divide the number of tiles with 8 points by the total number of tiles (100). **Answer:** The probability of selecting a letter worth 8 points is: \[ \frac{1}{100} \] (Type the probability as an integer or a simplified fraction.)
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