To verify a probability proof, drawing Venn diagrams for the left-hand side (LHS) and right-hand side (RHS) can illustrate the equivalence of probabilities, though it may not constitute a formal proof. Incorporating algebraic expressions involving variables a, b, and c, as referenced in Theorem 1, strengthens the argument and qualifies as a proof. The discussion emphasizes calculating probabilities such as P(A∩B'), P(A), and P(A∩B) in terms of a, b, and c to simplify the equation. This approach reveals that the desired proof can be transformed into a more straightforward algebraic form. Overall, combining visual and algebraic methods enhances understanding and verification of probability statements.