Predict lottery through Probability Theory? [I Like Mathematics]

Here is a curious question for you mathematicians: Is it possible to predict a significant amount of lottery numbers (let's say 5 out of 6 so you win hundreds of thousands) using Probability Theory - or are the numbers truly so random they are really hard to predict? I would figure that perhaps using a combination of Probability Theory and Forecasting, a modest amount of success could be reached, if not a great amount.

I don't know if it's either been done already or if it's possible.