Again, I feel you're making a lot of assumptions that are unfounded. Firstly, a vacuum is not "nothing". In fact, there is currently no reason to assume that such a thing as "nothing" even exists. Secondly, the big bang didn't exist "in" anything, as far as we know. The big bang was comprised of all the matter and space that we know currently exists, so it didn't exist "in" any space - it WAS space. If it helps, don't picture the big bang as small dot in the middle of an empty room that suddenly expands. Instead, imagine being on the inside of an inflated balloon, and that balloon expands outwards in all directions. It literally is comprised of all the space that there is. Thirdly, your conflation that "there was nothing, so the only thing that could influence anything was blind chance" is bunk. As said before, we don't know that there ever was or ever could be "nothing", and the singularity at the time of planck epoch was effected by the quantum effects of gravity. Before the epoch (if such a thing as "before" the epoch is even viable) is where all known laws break down, but that does not mean that "nothing" or "no laws" existed prior to this time. I am unsure of the current scientific consensus, but I feel your assumptions still go far beyond what can reasonably be concluded from the evidence we have at this time.
Again, I am not a physicist, nor any kind of scientist, so I eagerly expect and await a lot of correction and clarification from better-versed members of the forum than myself, so really the best thing you can do is go and read up on the facts yourself and come to your own conclusions based on the best available evidence.