Answer:
To find \(P(E \cup F)\), you can use the inclusion-exclusion principle:
\[ P(E \cup F) = P(E) + P(F) - P(E \cap F) \]
Given \(P(E) = \frac{27}{50}\), \(P(F^c) = \frac{11}{20}\), and \(P(F \cap E^c) = \frac{7}{25}\), you need to find \(P(F)\) first.
\[ P(F) = 1 - P(F^c) \]
Substitute this into the inclusion-exclusion formula to find \(P(E \cup F)\).
