When sun and moon are both in the sky, it still looks wrong.
You expect to see the sun side of the moon all lit up.
You have to remember that the moon is local and the sun is not.
The moon sees the sun in the same direction that you see the sun.
The sun does not shine across our sky to the moon.

And it is not chance that keeps the same face to us.
The effect of tidal friction is to match both.
Earth is slowing down and would one day keep the same face turned to the moon (except that the moon will have escaped by then for a similar reason)