60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. What is the probability that the applicant who gets the job plays drums or guitar?

Question

Mathematics

Broderick Graham

25 July, 11:38

60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar. What is the probability that the applicant who gets the job plays drums or guitar?

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Answers (1)

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Dayami Maldonado · Answer 1

The probability is 8 over 15.

Step-by-step explanation:

14 of the musicians play both guitar and drums, 28 play drums, 18 play the guitar.

It means n (G and D) = 14, n (D) = 28, n (G) = 18.

Using the formula of Union:-

n (G or D) = n (G) + n (D) - n (G and D).

n (G or D) = 18 + 28 - 14.

n (G or D) = 32.

It says 60 musicians applied for a job at a music school. So n (U) = 60.

the probability that the applicant who gets the job plays drums or guitar is = n (G or D) / n (U) = 32/60 = 8/15.

Hence, the probability is 8 over 15.