A survey was conducted at a local ballroom dance studio asking students if they had ever competed in the following dance categories: - Smooth Rhythm - Standard The results were then presented to the owner in the following Venn Diagram. Smooth Rhythm 4. 8 15 Standard 11 13 If a student is chosen at random, what is the probability that: Write your answers in percent form. Round to the nearest tenth of a percent.

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c) The student has competed in Smooth or Standard, but not Rhythm?Incorrect%
d) The student has competed in Rhythm and Standard, but not Smooth?Incorrect%
e) The student has competed in Rhythm.

**Survey and Results: Ballroom Dance Studio Participation**

A survey was conducted at a local ballroom dance studio to determine if students had ever competed in the following dance categories:
- Smooth
- Rhythm
- Standard

The survey results were presented in a Venn Diagram as follows:

- **Smooth only:** 4 students
- **Rhythm only:** 8 students
- **Standard only:** 11 students
- **Smooth and Rhythm:** 6 students
- **Smooth and Standard:** 7 students
- **Rhythm and Standard:** 5 students
- **All three categories (Smooth, Rhythm, Standard):** 15 students
- **None of the categories:** 13 students

The Venn Diagram visually represents the overlap and distribution of students across these categories, enabling the dance studio owner to understand students' participation patterns.

**Probability Calculation**

The task is to calculate the probability of choosing a student at random from the surveyed group, and express this probability as a percentage rounded to the nearest tenth of a percent.
Transcribed Image Text:**Survey and Results: Ballroom Dance Studio Participation** A survey was conducted at a local ballroom dance studio to determine if students had ever competed in the following dance categories: - Smooth - Rhythm - Standard The survey results were presented in a Venn Diagram as follows: - **Smooth only:** 4 students - **Rhythm only:** 8 students - **Standard only:** 11 students - **Smooth and Rhythm:** 6 students - **Smooth and Standard:** 7 students - **Rhythm and Standard:** 5 students - **All three categories (Smooth, Rhythm, Standard):** 15 students - **None of the categories:** 13 students The Venn Diagram visually represents the overlap and distribution of students across these categories, enabling the dance studio owner to understand students' participation patterns. **Probability Calculation** The task is to calculate the probability of choosing a student at random from the surveyed group, and express this probability as a percentage rounded to the nearest tenth of a percent.
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