1. **Problem:** Describe the sample spaces for the given situations. 2. **Sample Space Definition:** The sample space is the set of all possible outcomes. 3. **Part (a):** Jewelry store rings with types and gemstones. - Rings: Gold (G), Platinum (P) - Gemstones: Ruby (R), Sapphire (S), Emerald (E) - Sample space = {GR, GS, GE, PR, PS, PE} 4. **Part (b):** Spinner lands on Red (R) or Blue (B), then roll a 4-sided die with faces {1,2,3,4}. - Sample space = {(R,1), (R,2), (R,3), (R,4), (B,1), (B,2), (B,3), (B,4)} 5. **Summary:** - Part (a) sample space size = 6 - Part (b) sample space size = 8 **Final answers:** - Part (a) Sample Space = {GR, GS, GE, PR, PS, PE} - Part (b) Sample Space = {(R,1), (R,2), (R,3), (R,4), (B,1), (B,2), (B,3), (B,4)}