What is the probability that both of the people you interview are women?

Question

Twelve women and fourteen men have applied for a job posting. You are responsible for interviewing applicants. Assume that you are selecting two applicants at random for an interview. Draw a tree diagram to represent this situation.

Answer 1

probability first one is a woman is 12/26

probability second one is a woman is 11/25

probability both are women is 12/26 * 11/25.