Final answer:
The sample space for a spinner with four equal sections, numbered 1 to 4, is S = {1, 2, 3, 4}.
Step-by-step explanation:
The sample space for a spinner with four equal sections, numbered 1 to 4, is the set of all possible outcomes that can occur when you spin the spinner. In this case, there are four possible outcomes, which are simply the numbers on the spinner. Each number represents one possible outcome when the spinner is spun. So, in this case, the sample space consists of four outcomes.
Therefore, the sample space S can be written as S = {1, 2, 3, 4}. Whenever you spin the spinner, you can land on any of these four numbers with equal probability.