Mastering Shadows
By Olivier Saraja

S  t  e  p     8 :
Bias
Some strange patterns appear sometimes in the shadowy area, when Bias is set to a low value and when the range between ClipSta and ClipEnd is low (as is usually recommanded). To prevent this, you should always set Bias to the highest value possible.
 
Bias set to 0.01
Bias set to 1.00
Bias set to 3.00
Bias set to 5.00
The patterns are clearly visible when Bias is set to 0.01 and are progressively smoothened when this parameter is increased. It's hard to tell at all if there's a pattern in the rendering with the Bias set to 3.00, but the picture seems to be a little darker than the one with Bias set to 5.00. Confused? Nevermind! Set Bias to 5.00 without even thinking about it!

Final conclusion
You are now deeply familiar with casting shadows within Blender. Given time, you will play with light and shadow concepts without even thinking about it, and enhance the quality and realism of your pics by 100%. But before that, stay simple and straight-forward:

Happy blending!