Question

Jacobs & Johnson, an accounting firm, employs 17 accountants, of whom 6 are CPAs. If a delegation of 4 accountants is randomly selected from the firm to attend a conference, what is the probability that 4 CPAs will be selected? (Round your answer to three decimal places.)

Answer 1

0.006

Step-by-step explanation:

Answer 2

Probability will be 0.3428

Step-by-step explanation:

Because probability is the preferred over total, we want the number of delegations with 2 CPA's over the number of total delegations.

We have 9 CPA's and we need to choose 2, thus the number of delegations with 2 CPA's
`^9C_2=(9!)/(2!7!)=36`

To find the total number of delegations, we have 15 accountants and we need to choose 2, thus,
`^12C_2=(12!)/(2!10!)=105`

Thus our probability will be
`=(36)/(105)=0.3428`