5. A group of 60 music students were surveyed. 15 play the piano, 20 play the flute, and 30 play guitar. 5 play the piano and flute, 9 play the flute and guitar, and 3 play the piano and guitar. 2 play all three, and 10 play none of the three instruments. (a) Draw a Venn diagram to illustrate the information. (b) Find the probability that a student chosen at random plays the guitar but not the flute.

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
icon
Related questions
Question

Math 5

5. A group of 60 music students were surveyed.
15 play the piano, 20 play the flute, and 30 play guitar.
5 play the piano and flute, 9 play the flute and guitar, and 3 play the piano and guitar.
2 play all three, and 10 play none of the three instruments.
(a) Draw a Venn diagram to illustrate the information.
(b) Find the probability that a student chosen at random plays the guitar but not the
flute.
Transcribed Image Text:5. A group of 60 music students were surveyed. 15 play the piano, 20 play the flute, and 30 play guitar. 5 play the piano and flute, 9 play the flute and guitar, and 3 play the piano and guitar. 2 play all three, and 10 play none of the three instruments. (a) Draw a Venn diagram to illustrate the information. (b) Find the probability that a student chosen at random plays the guitar but not the flute.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning