Randomness is unpredictable. And of course, unpredictability is randomness. So there you have it.
By "exact," I imply something that happens at the same time, same place, and has the same pattern. Even two atoms can't achieve that level of harmony.
Do you think humans will be able to achieve that level of harmony? Even technology has its limits, for humans are not all-powerful. However, we have logical superiority over the rest of nature in the sense that we are endowed with creativity.
Everything this world has to offer is limited. Even the human brain.
And Mr. Amadameus, I am on your side.