I was reading the CLRS. In the Hashing Chapter on page 262 a statement says: "For example, if we know that the keys are random real numbers $k$ independently and uniformly distributed in the range $0 \leq k < 1$, then the hash function $h(k)= \lfloor km \rfloor$."
Question: Does Uniformly distributed meant all numbers have equal probability. if so then all numbers have the same $k$ values and belong to the same slot.