Let us first define the two events-
A : event that a new instructor teaches the course.
B : event that a female instructor teaches the course.
Total number of instructors =11
Number of new instructors in the deparments=4
Number of instructors that are female = 3
Therefore, P(A) =4/11
P(B) = 3/11
However, there is only one who fits all of the description that is
Therefore the probability that if we randomly choose a course taught by these instructors, we get either a new instructor or a female instructor is
= 4/11 + 3/11 - 1/11
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