The resumes of two male applicants for a college teaching position in Engineering Data Analysis are placed in the same file as the resumes of two female applicants. Two positions become available, and...

Extracted text: The resumes of two male applicants for a college teaching position in Engineering Data Analysis are placed in the same file as the resumes of two female applicants. Two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. The second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. Ushig the notation M,F for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant. Find the probability that neither position is filled by a male applicant O 1/6 2/3 O 1/2 1/3