Given:
The spinner has five sections that are 1 yellow (Y), 1 purple (P), 1 red (R), 1 blue (B), and 1 green (G).
Required:
We need to find the sample space for one spin of the given spinner.
Step-by-step explanation:
The sample space = the collection of all sections of the spinner.
![S=\lbrace\text{ yellow, purple, red, blue, green \textbraceright}](https://img.qammunity.org/2023/formulas/mathematics/college/ncugmvox3mh9uh0p7zd2wt9tlngi9f8gz2.png)
![S=\lbrace\text{ Y, P, R, B, G\textbraceright}](https://img.qammunity.org/2023/formulas/mathematics/college/1lutifevw7125oudye3efxqzir8dmxgcz7.png)
Final answer:
![\lbrace\text{ Y, P, R, B, G\textbraceright}](https://img.qammunity.org/2023/formulas/mathematics/college/a7am7icruazzcl1a4k6znjbuxdlxskks2e.png)
Option D is correct.