A study was made of 200 students to determine what Disney TV shows they watch. Wizards of Hannah Montana Waverly Place 73 17 23 313 143 22 117 Three Circle Venn Diagram Suite Life of Zach and Cody A. What is the probability of a student chosen at random only liking Wizards of Waverly Place? B. is the probability of a student chosen at random liking Hannah Montana? C. What is the probability of a student chosen at random liking none of these three shows?

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### Study on Disney TV Show Preferences

A study was conducted involving 200 students to determine which Disney TV shows they watch. The findings are represented in a Venn diagram consisting of three circles, each representing one show: **Wizards of Waverly Place**, **Hannah Montana**, and **Suite Life of Zach and Cody**.

#### Venn Diagram Explanation

- **Wizards of Waverly Place**: Represented by the left circle.
  - Students who only like Wizards of Waverly Place: **73**

- **Hannah Montana**: Represented by the top right circle.
  - Students who only like Hannah Montana: **17**

- **Suite Life of Zach and Cody**: Represented by the bottom circle.
  - Students who only like Suite Life of Zach and Cody: **117**

- Overlapping sections:
  - Students who like both Wizards of Waverly Place and Hannah Montana: **23**
  - Students who like both Wizards of Waverly Place and Suite Life of Zach and Cody: **313**
  - Students who like both Hannah Montana and Suite Life of Zach and Cody: **143**
  - Students who like all three shows: **9**

- Students who do not like any of the three shows: **22**

#### Probability Questions

A. What is the probability of a student chosen at random only liking Wizards of Waverly Place? _______

B. What is the probability of a student chosen at random liking Hannah Montana? _______

C. What is the probability of a student chosen at random liking none of these three shows? _______

D. What is the probability of a student chosen at random liking both Hannah Montana AND Suite Life of Zach and Cody? _______

E. What is the probability of a student chosen at random liking Wizards of Waverly Place and Suite Life of Zach and Cody? _______
Transcribed Image Text:### Study on Disney TV Show Preferences A study was conducted involving 200 students to determine which Disney TV shows they watch. The findings are represented in a Venn diagram consisting of three circles, each representing one show: **Wizards of Waverly Place**, **Hannah Montana**, and **Suite Life of Zach and Cody**. #### Venn Diagram Explanation - **Wizards of Waverly Place**: Represented by the left circle. - Students who only like Wizards of Waverly Place: **73** - **Hannah Montana**: Represented by the top right circle. - Students who only like Hannah Montana: **17** - **Suite Life of Zach and Cody**: Represented by the bottom circle. - Students who only like Suite Life of Zach and Cody: **117** - Overlapping sections: - Students who like both Wizards of Waverly Place and Hannah Montana: **23** - Students who like both Wizards of Waverly Place and Suite Life of Zach and Cody: **313** - Students who like both Hannah Montana and Suite Life of Zach and Cody: **143** - Students who like all three shows: **9** - Students who do not like any of the three shows: **22** #### Probability Questions A. What is the probability of a student chosen at random only liking Wizards of Waverly Place? _______ B. What is the probability of a student chosen at random liking Hannah Montana? _______ C. What is the probability of a student chosen at random liking none of these three shows? _______ D. What is the probability of a student chosen at random liking both Hannah Montana AND Suite Life of Zach and Cody? _______ E. What is the probability of a student chosen at random liking Wizards of Waverly Place and Suite Life of Zach and Cody? _______
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