Just because you don't think it can't happen, does not mean that it isn't true.
The burden of proof for that comment lies entirely upon you, Mashiki. Remember, extraordinary claims require extraordinary evidence. I can give you factual, mathematical evidence that random number theory is based upon solid scientific reasoning and observed, duplicatable patterns of occurance. If you seriously claim that some mystical, meta-physical energy field or its equivalent is affecting events in a manner not consistent with physical laws, then YOU must prove YOUR hypothesis. (Or, more to the point, you must attempt to disprove it, which is the only acceptable application of the scientific method-- something the schools are apparently failing to teach in recent years.)
The mathematical evidence--in the form of odds-to-one--and the application of Occam's Razor to the NY lottery numbers event points very clearly to a simple falsification for dramatic impact as the most likely explanation. Any other claim, as you just made, is extraordinary and nothing more than wild conjecture without the weight of evidence behind it.
I believe it was Charles Sheffield who years ago advanced a tongue-in-cheek hypothesis for the existence of the human "soul". It was all very elegant and well-written, and very convincing to layman and physicist alike. However, it was also total bunk. He conjured the basis for the "hypothesis" out of thin air, then fabricated the proposal out of whole cloth. Additionally, it was quite impossible to test his hypothesis with any real degree of control, since any subject would, by definition, be... well, dead.
It was a fascinating example of how simple it can be to fool even the most educated and intelligent people-- if they WANT to believe. And who doesn't WANT to believe in life-after-death? But believing doesn't make it so.
In short, be open-minded; it's a good thing. Just don't be so open-minded that your brains fall out of your skull.