Can winds also arise due to a statistical probability that more air molecules suddenly gets an equal direction?
This is perhaps more of a physics question than an earth science one. Thus, answering with the caveat that I am not a practicing physicist:

Yes, it's possible. But it's VERY unlikely. Without doing the maths, I'm guessing "probably won't happen in the lifetime of the universe" unlikely. The reason for this is that there are a LOT of molecules in any macro-scale parcel of air, and a huge majority of them would all have to randomly move the same way at the same time. (plus, I'm guessing there are some Newton third-law, ie action &amp; reaction, reasons why a spontaneous mass movement wouldn't really work)