1. **State the problem:** Given the probability of event $A$ as $p(A) = 0.4$, find the probability of the complement of $A$, denoted as $A^c$. 2. **Formula used:** The probability of the complement of an event $A$ is given by: $$p(A^c) = 1 - p(A)$$ This is because the total probability of all possible outcomes is 1. 3. **Calculate the complement probability:** $$p(A^c) = 1 - 0.4$$ 4. **Simplify:** $$p(A^c) = 0.6$$ 5. **Interpretation:** The probability that event $A$ does not occur is 0.6, meaning there is a 60% chance of the complement event happening.