Statistics and probabilities? They are picks and shovels, you still need to know where to dig.
And as MrMuppet said, the professionals have bulldozers and excavators against our picks and shovels. Been there done that, armed with BSM, binomial algorithms, excel spread sheets, VBA... I am no match for folks with room full of computers and army of PhD mathematicians, theoretical physicists, statisticians, financial analysts and economists.
So, I (we), mom and pop retail(s), have to find crumbs, leftovers from the big boys. Kind of reminded me of panning for gold in abandoned gold mines.