Let's say I have a random variable A, that is uniform on [0,b], where b is a positive integer. Then, I have another r.v. C that is a floor function of A. However, this means that for instance for values a = 0.2, a = 0.4 and so on this floor function maps to the integer 0. The same for any other real number below b. But if a = b, then this is a single value and while the floor function maps this correctly, I think this has implications for the probability mass function of C. C, if I understand correctly should take values of any integer between 0 and b minus one, with equal probability, but should have probability zero for the value b. Is this correct