celine spins this spinner two times. which tree diagram represents the sample space of this compound event?

Explanation:

Step1: Analyze the compound - event

Celine spins the spinner two times. The possible outcomes for each spin are green, blue, or yellow.

Step2: Determine the sample - space structure

The sample - space of a two - spin event should list all possible pairs of outcomes. For example, (green, green), (green, blue), etc.

Step3: Evaluate the tree - diagrams

The first tree - diagram shows all the possible combinations of two spins correctly. For the first spin, there are 3 branches (green, blue, yellow), and for each of these branches, there are again 3 branches for the second spin, giving a total of 3×3 = 9 possible outcomes in the sample - space.

Answer:

The first tree - diagram represents the sample space of this compound event.