Please help settle this basic math problem

I didn't ignore your post jml, but I still get conflicting answers on the subject of this former lotto pick;

If the lotto is twice in the same day, I don't believe it to be under the same EVENT, given that a 2nd random set of numbers are drawn. To me, the fact that 2 drawings occurred (once in the morning and evening) should only increase the odds only slightly, and not halve the odds entirely.

The way I understand this, I'm comparing the odds to buying two 1/49 tickets and "doubling" my chances there as well, which I know isn't the case; you're taking 2 stabs in the dark. Picking 9-11 as your number, and having it drawn 2 SEPARATE times (on the same day) should still be around 1-1000.

I may have not phrased my questions properly, but I'm definitely paying attention to your answers.

I'm working night shift, so I gotta get some sleep. Again, thanks for the input :)