In: Physics
The term uncertanity in terms of Quantum Mechanics is not that simple to understand or state. It is based on the relationship and nature of two physical quantities such as position and momentum of a particle or system of particle.i.e. complementary variables. This statement is better understood by using Hiesenberg uncertanity principle that is stated as:
Now, coming to the problem asked, it actually a combination of both the statements made in the question. There is minimum count associated with each and every measurement we make for every set up. Thus we can say that this tells us the limitation of measurement and thus second one might be correct.