(bái) doesn't only mean "white." When added before a verb it means to do that verb "in vain" or "with no effect." In a certain way, you can think of  as not being just "white" but also "blank," like when you do something for a long time without thinking, and you're just going through the motions. It's like doing something with a "blank" mind.

Structure with just 白

All you have to do is but  before the verb.One important thing to note is that  is usually used with mono-syllabic words, like 帮, 做, 学 etc. You cannot put a  after .

 + Verb + 

Examples

Structure with 白白

 can also be replaced with 白白, and they are basically the same, though 白白 has a stronger emphasis on the "wasted effort." 白白 also is usually paired with a disyllabic word, like 帮助准备学习 etc. Unlike 白白 can be used with a .

Examples

Sources and further reading