Answer
The probability that the selected person is a professor or a female = $\frac{13}{20}$
Work Step by Step
Total number of persons or outcomes = 8 + 11 + 14 + 7 = 40
For finding probability that the selected person is a professor or a female, favorable outcomes = 8 + 11 + 7 = 26
Probability = $\frac{Favorable outcomes}{Total outcomes}$
The probability that the selected person is a professor or a female = $\frac{26}{40}$
= $\frac{13}{20}$