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Of all the applicants being considered for a job opening 9 completed college but have no
experience, 24 are attending college but have no experience, and 12 have experience but
have not attended college. Without considering the value of their qualifications, what is
the probability that an applicant with a college degree or an applicant who hasn't attended
college is hired?


Sagot :

Probabilities are used to determine the chances of events

The probability that an applicant with a college degree or an applicant who hasn't attended  college is hired is 0.80

Using the following representations

[tex]\mathbf{Attending\ college\ without\ experience \to A}[/tex]

[tex]\mathbf{Completed\ college\ without\ experience \to B}[/tex]

[tex]\mathbf{Have\ experience\ no\ college\to C}[/tex]

So, we have:

[tex]\mathbf{A = 9}[/tex]

[tex]\mathbf{B = 24}[/tex]

[tex]\mathbf{C = 12}[/tex]

The probability that an applicant with a college degree or an applicant who hasn't attended  college is hiredis: P(B or C)

So, we have:

[tex]\mathbf{P(B\ or\ C) = P(B) + P(C)}[/tex]

This gives

[tex]\mathbf{P(B\ or\ C) = \frac{B + C}{Total}}[/tex]

So, we have:

[tex]\mathbf{P(B\ or\ C) = \frac{24+12}{9+24+12}}[/tex]

[tex]\mathbf{P(B\ or\ C) = \frac{36}{45}}[/tex]

[tex]\mathbf{P(B\ or\ C) = 0.80}[/tex]

Hence, the probability that an applicant with a college degree or an applicant who hasn't attended  college is hired is 0.80

Read more about probabilities at:

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