Ah, my molluscan friend, you are being so perversely unreasonable.

Imagine we place a coin into an opaque box which we then shake vigorously.
Would you not then agree that there is an equal chance that the coin is lying heads or tails? The position you're taking is equivalent to saying in this situation: "No, there is not. Whichever way the coin lies, it has no chance of lying the other way."

And you have assumed incorrectly that this is a puzzle to be skillfully solved.