MABABA, MARIA KRIZA JOY S.
BSACCTY
Determine the following:
A. The probability of an officer gets promoted given that the officer is a woman?
S
A
B
A∩B
P ( A\B) =
𝑃( 𝐴∩𝐵)
𝑃(𝐵)
Let A = Promoted
B = Women
P= getting promoted, PC not getting promoted
A= Promoted
B= Women
324
240
288
36
204
P(officer gets promoted / woman) = # promoted and women / women
= 36 / 240
=0.15
OR
P ( P\B) =
= 0.15
𝑃(𝑃∩𝐵)
𝑃(𝐵)
36
= 1200 =
240
1200
3
20
= 0.15
B. The probability of an officer not getting promoted given that the officer is a woman?
Let A= Not promoted
B= women
P= getting promoted, Pc not getting promoted
A= Promoted
B= women
324
240
672
204
36
P(officer gets not promoted / woman) = # not promoted and women / #women
=204/240
=0.85
OR
P (Pc|B) =
=0.85
𝑃(𝑃c ∩𝐵)
𝑃(𝐵)
204
= 1200 =
240
1200
17
20
= 0.85