Question

A medical clinic is randomly selecting two staff members to attend a conference. The clinic employees include 7 nurses, 3 doctors, and 2 office staff. The nurses want to know the probability that both attendees will be nurses. The tree diagram displays the possible outcomes of randomly selecting two staff members.

Which probability is represented by label 3 in the tree diagram?
5/12
5/11
6/11
7/12

Answer 1

6/11

Explanation:

Well we know that the first pick is already a nurse which makes 6 nurses, 3 doctors, and 2 office staff. If we were to add all this up we would get 11 and knowing that we have 6 nurses we would have the probability of 6/11.

If we didn't have number 2 already then it would be 7/12 per chance and multiply both by themselves which give a 49/144 chance. But we did a nurse so the answer would be 6/11.