1. **State the problem:** We need to find the percentage of applicants admitted to the college. Admission requires either a GPA of at least 3.0 or an SAT score of at least 1200. 2. **Given data:** - Percentage with GPA $ \geq 3.0 $: 38% (denote as $P(G) = 0.38$) - Percentage with SAT $ \geq 1200 $: 30% (denote as $P(S) = 0.30$) - Percentage with both GPA $ \geq 3.0 $ and SAT $ \geq 1200 $: 15% (denote as $P(G \cap S) = 0.15$) 3. **Formula used:** The percentage admitted is the union of the two groups: $$ P(G \cup S) = P(G) + P(S) - P(G \cap S) $$ This formula accounts for the overlap so we don't double-count applicants who meet both criteria. 4. **Calculate:** $$ P(G \cup S) = 0.38 + 0.30 - 0.15 = 0.53 $$ 5. **Convert to percentage:** $$ 0.53 \times 100 = 53\% $$ 6. **Interpretation:** 53% of all applicants are admitted to the college because they meet at least one of the admission criteria. **Final answer:** \[\boxed{53\%}\]