No evidence? There's no evidence against it. It is one of the possible states of the universe, and as equally possible as any other.
Oh, dear God. I hope that this isn't what your whole coin toss analogy was all about. If so, then all I can say is that in a wholly and truly random process, no one state or outcome is more likely than any other, subject to the specifics of the process. Existence is not a wholly and truly random process. Thus, your statement that blinking into existence is as possible as any other states of the universe is not only wrong, but ridiculously so.