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

Answer 1

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.