What is the role of 没 here?
They're all questions.

1-洗没洗衣服 = Have you washed the clothes or not?

2-听没听音乐 = Have you listened to music or not?

3-复习没复习课文 = Have you revised the text or not?

All three sentences have the same structure. If you break the first one apart, you get this:

洗 = wash(ed)

没洗 = not wash(ed)

衣服 = clothes