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There are
female teachers, and
male teachers.
This means that, out of a total of 75 teachers, 45 are female, leading to a probability of
of selecting a female teacher.
If we restrict to those with more than 8 years service, there are 13 female teachers and 7 male teachers.
So, out of a total of 21 teachers, there are 13 female teachers, leading to a probability of
of selecting a female teacher.