Here I don't go probabilities events quick check a bag contains of blue button b a red button r and a yellow button why if one button is selected and then return to the bag three times what is the sample space of the repeated it experiment

The sample space of the repeated experiment can be represented as follows:

{BBB, BBR, BBY, BRB, BRR, BRY, BYB, BYR, BYY, RBB, RBR, RBY, RRB, RRR, RRY, RYB, RYR, RYY, YBB, YBR, YBY, YRB, YRR, YRY, YYB, YYR, YYY}

This includes all possible sequences of buttons that could be selected when drawing a button from the bag three times with replacement.