Final answer:
The sample space for two consecutive spins on a spinner with orange, yellow, and green is {OO, OY, OG, YO, YY, YG, GO, GY, GG}, with each letter representing a color.
Step-by-step explanation:
The question pertains to finding the sample space for two consecutive spins on a spinner with three different colors: orange, yellow, and green. A sample space of an experiment is the set of all possible outcomes. In this scenario, each spin can result in one of three colors, and since there are two spins, we have to consider each possible outcome for the first spin followed by each possible outcome of the second spin.
The sample space for two consecutive spins would therefore include every possible combination of two colors—one for each spin. It is represented by the set: {OO, OY, OG, YO, YY, YG, GO, GY, GG}, where O stands for orange, Y stands for yellow, and G stands for green. This means, for example, that 'OG' represents the outcome where the first spin lands on orange and the second spin lands on green.