No, you are mistaken. A probability that is, quote, "infinitesimally close to 0" might be functionally be treated as zero for piratical purposes -hence the functional-, but that, however, does not mean that the actual odds themselves change. There is still a chance that the event would occur even if the functional, likely outcome is different.
The odds say no such thing. Sorry, but, again, you're wrong. Chance can, and does, explain many things that are improbable - including this.
I doubt that.