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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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