To determine the sample space of the experiment of selecting one button from a bag containing a blue button (B), a red button (R), and a yellow button (Y) three times with replacement, we need to consider all possible combinations of the buttons.
Since there are three choices for each selection (B, R, or Y) and we are selecting three times, the total number of outcomes in the sample space is \(3^3 = 27\).
The sample space includes all sequences of length three composed of the letters B, R, and Y. Let's identify the correct option from the provided lists based solely on the nature of the selections.
- The first option includes combinations like RRR, RRY, etc., and maintains a consistent length of three.
- The second option and the third also contain sequences with three selections but seem to be incorrect due to extra or mistyped elements such as "O” or "Yvy".
- The fourth option appears to introduce YYY, which is valid, but similarly, the last part seems incomplete.
Ultimately, the correct response should look like a combination of all possible 3-length sequences containing B, R, and Y without extraneous characters or letters.
Given that, the first option is most logically consistent with the criteria for a sample space of this experiment.
So the correct choice is the first option:
RRR, RRY, RRB, RYR, RYB, RYY, RBR, RBY, RBB, BBB, BBY, BBR, BYB, BYR, BYY, BRB, BRY, BRR.