Do Prime Lenses Have Image Stabilization?

A prime lens has such a fast aperture that it allows for such fast shutter speeds that stabilization is rarely (if ever needed).

Why do prime lenses not have OIS?

Here is how I understand it: OIS works by a lens element that moves and compensates for camera movements. This means that the moving lens element is not always in a straight optical line with the other lenses. This can add a little blur and thus contradicts the meaning of prime lenses ie ultra sharpness.

Is Image Stabilization important in Lens?

The advantage of image stabilization is that it allows you to capture sharper images of stationary objects at shutter speeds slower than you could without it. Lens manufacturers rate their image stabilization by how many stops slower you can shoot using the image stabilization.