o        |        |
|                 |      |        |               |        |        |
|                 |      |        |               |        |        |
|                 |      |        |               |        |        |
o--------o--------o      o--------o--------o      o--------o--------o
  Thing1   Thing2          Thing1   Thing2          Thing1   Thing2

 High Entropy Case        Low Entropy Case 1       Low Entropy Case 2

JA:  So high entropy, or high uncertainty, means that you do not know mu