Let's say that a being or a machine has nearly infinite amount of information, about the world around us. It could easily find the outcome of a flipped coin knowing the force it was thrown, the atmospheric pressure, etc... It could also predict the place and action for every person on earth in a year from now by calculating all the possibilities.
So the question is, is there any event that could happen that this machine has no way to predict? A trully unpredictable event no matter how much information it has?