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The resumes of 2 male applicants for a collage teaching position in chemistry ar

ID: 3125649 • Letter: T

Question


The resumes of 2 male applicants for a collage teaching position in chemistry are placed in the same file as the resumes of the remaining of 2 female applicants. Two positions become available and the first, at eh rank of assistant professor, is filled by selecting 1 of the 4 applicants at random. The second position, at the rank of assistant instructor, is then filled by selecting at random one of the remaining 3 applicants. Using the notation M_2F_1, 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. list the elements of a sample space S; list the elements of S corresponding to event A that the position of assistant professor is filled by a male applicant; list the dements of S corresponding to event B that exactly I of the 2 positions was filled by a male applicant; list the elements

Explanation / Answer

Answer :

     

L1 = Laki – laki 1

L2 = Laki – laki 2

F1 = Perempuan 1

F2 = Perempuan 2

(a) S = { L1L2, L1F1, L1F2, L2L1, L2F1, L2F2, F1L1, F1F2, F2L1, F2L2, F2L1 }

(b) A = { L1L2, L1F1, L1F2, L2L1, L2F1, L2F2 }

(c) B = { L1F1, L1F2, L2F1, L2F2, F1L1, F2L1,F2L2 }

(d) C = { F1F2, F2F1 }

(e) A B = { L1F1, L1F2, L2F2, L2F1 }

(f) A C = { L1L2, L1F1, L1F2, L2L1, L2F1, L2F2, F1F2, F2F1 }

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