Answer
$\frac{33}{40}$
Work Step by Step
Step 1. The total number is: $8+11+14+7=40$
Step 2. The probability of choosing a professor is
$P(prof)=\frac{8+11}{40}=\frac{19}{40}$
Step 3. The probability of choosing a male is
$P(male)=\frac{8+14}{40}=\frac{22}{40}$
Step 4. The probability of choosing a male professor is
$P(male\ prof)=\frac{8}{40}$
Step 5. The probability of choosing a professor or a male is
$P(prof\ or\ male)=P(prof)+P(male)-P(male\ prof)=\frac{19}{40}+\frac{22}{40}-\frac{8}{40}=\frac{33}{40}$
