4.6.2 Tent (CST): Statistical Analysis Question 9 of 25 You spin a spinner with 4 sections: 1 yellow (Y), 1 purple (P), 1 red (R), and 1 blue (B). What is the sample space for one spin of this spinner? A. \( \{Y, P\} \) B. \( \{Y, O, R, P\} \) C. \( \{Y, P, R, B\} \) D. \( \{Y P, P R, R B, B Y\} \)

The **sample space** is the set of all possible outcomes of an experiment. In this case, when you spin the spinner once, it can land on one of the four sections: Yellow (Y), Purple (P), Red (R), or Blue (B). Let's evaluate the options: - **A. \( \{Y, P\} \)** - *Incorrect.* This set only includes Yellow and Purple, leaving out Red and Blue. - **B. \( \{Y, O, R, P\} \)** - *Incorrect.* This set includes "O," which isn't one of the spinner's sections. It should be Blue (B) instead. - **C. \( \{Y, P, R, B\} \)** - *Correct.* This set accurately includes all four possible outcomes: Yellow, Purple, Red, and Blue. - **D. \( \{Y P, P R, R B, B Y\} \)** - *Incorrect.* This set seems to represent pairs of outcomes, which might be relevant for multiple spins or transitions but not for a single spin. **Answer:** C. \( \{Y, P, R, B\} \)