Question

which table represents the sample space of this compound event?

Explanation:

Step1: Identify sample - space concept

The sample space of a compound event is the set of all possible outcomes. Here, one spinner has 3 colors (red, blue, yellow) and the other has 3 colors (orange, purple, green). Each outcome of the first spinner can combine with each outcome of the second spinner.

Step2: Check combinations

The first table shows all possible combinations of the 3 colors from the first spinner (red, blue, yellow) with the 3 colors from the second spinner (orange, purple, green). The second table is missing the combinations with blue. The third table has incorrect color - combination in the last column (should be green instead of yellow).

Answer:

The first table represents the sample space of this compound event.