For a, the probability of someone hitting the target and missing the target is not equal, which is not a classical probability, and a is wrong;
There are countless points, b, abscissa and ordinate are integers, not classical probability, and b is wrong;
For c, it conforms to the definition of classical probability, which is classical probability, and c is correct;
For D, the probability of shooting is different from the probability of not shooting, which is not a classical probability, and D is wrong;
So choose C.