Eye dropper question

Whenever I am tracing a jpeg image and using the eye dropper tool to create the paths' fills, to mimick the original color, very often the tool produces a somewhat less-saturated color. So I then have to manually go to the color pallette on my own to revise it to my desired hue. Quite time-consuming.

If I am tracing two areas of a jpeg file with very simalar colors, the eye dropper tool often produces one identical color. This brings me with the following question: Does the eye dropper tool have a database of its own, with a reduced number of colors within the viewable color pallette? And if yes, how many increments, both the X axis and the Y axis, does the color pallette contain on any given one on the color slider?

Any insight would be much appreciated.

Sand Patch