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.
Thus? "Thus" by what? That the universe is not a "wholly and truly random process" -- therefore you assert design, AND intelligent design. For design implies intelligence. Because you find yourself in all your glories existing! Hooray!
Because from that you CAN deduce a G-d, a G-d constantly directing the process, and a Merciful One. Why merciful? Because only a merciful G-d would not TAUNT you with meaningless false memories of existance prior to the very picosecnd you read this, taunt you by popping the whole universe, you and all you glorious memories into existance just *now*. It is the most logical of deductions.
Yet without such a benign G-d, the universe, you and all your memories could -- by godfree logic -- equally as popped up just *now* in this exact state as in any other state.