A survey on preferences for music vs. reading as hobbies was done with 50 persons. The results were: 14 persons enjoyed both music and reading as hobbies 8    persons who only enjoyed reading as a hobby 8    persons did not prefer either hobby (i) Represent this information using a Venn Diagram.  (ii) Find the probability that a randomly chosen person preferred reading as a hobby. (iii) Find the probability that a randomly chosen person prefers either music or reading as a hobby

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A survey on preferences for music vs. reading as hobbies was done with 50 persons. The results were:

14 persons enjoyed both music and reading as hobbies

8    persons who only enjoyed reading as a hobby

8    persons did not prefer either hobby

(i) Represent this information using a Venn Diagram. 

(ii) Find the probability that a randomly chosen person preferred reading as a hobby.

(iii) Find the probability that a randomly chosen person prefers either music or reading as a hobby. 

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