1. **State the problem:** Grace has 16 jellybeans: 8 red, 4 green, and 4 blue. We want to find the minimum number she must take out to be sure she has at least one jellybean of each color. 2. **Analyze worst case scenario:** To fail having one of each color, she could pick jellybeans missing one color. So, imagine she picks all jellybeans from just two colors first. 3. **Calculate the maximum number without having all three colors:** - She could pick all 8 red and all 4 green jellybeans, total 12, with no blue ones yet. 4. **Therefore, the next jellybean she picks (the 13th) must be blue to guarantee at least one blue jellybean. Similarly, this logic applies to other colors too.** 5. **Conclusion:** Grace must pick at least 13 jellybeans to guarantee at least one jellybean of each color. **Final answer: 13**