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

Answer:

Probability will be 0.3428

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 $^9C_2=\frac{9!}{2!7!}=36$

To find the total number of delegations, we have 15 accountants and we need to choose 2, thus, $^12C_2=\frac{12!}{2!10!}=105$

Thus our probability will be  $=\frac{36}{105}=0.3428$