60 musicians applied for a job at a music school. 14 of the musicians play both guitar and drums. What is the probability that t

Question

2 years ago

6

he applicant who gets the job plays drums or guitar?

1 answer:

Alika [10] · Answer 1 · 2022-02-18T14:03:22+03:00

Answer:

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.