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Jacobs & Johnson, an accounting firm, employs 19 accountants, of whom 9 are CPAs. If a delegation of 2 accountants is randomly selected from the firm to attend a conference, what is the probability that 2 CPAs will be selected? (Round your answer to three decimal places.)

Respuesta :

Answer:

Probability will be 0.300

Explanation:

We have given that there are total 16 accountants

So total number of accountants = 16

In which there are are 9 CPA's

We have to choose 2 accountants and find the probability that these accountants are CPA's

For number of ways in which 2 accountants are chosen from 16 accountant

So number of ways = [tex]^{16}C_2=\frac{16!}{2!14!}=\frac{16\times 15}{2}=120[/tex]

Number of ways of choosing accountant who are CPA's = [tex]^{9}C_2=\frac{9!}{2!7!}=\frac{9\times 8}{2}=36[/tex]

So the probability of choosing accountant who are CPA's is [tex]=\frac{36}{120}=0.300[/tex]

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