Pure coherent states are known as the most classical states in quantum mechanics. Similarly, pure spin coherent states based on the rotation group also exist in finite dimensions. We call these states pure classical states, and the mixed classical states are the statistical mixtures of these states. The set of all classical states is a subset of the set of all pure & mixed states. We present an essentially complete description of the geometry of this set for 3-dimensional Hilbert space. While studying its geometry we find a remarkable similarity between the geometry of this set and the geometry of the set of all classical probability distributions. This study also improves a recent work on this set done by Giraud at el [4] and relates it to an earlier work by Wootters [14].