Jeff,
I know they are presented as three separate categories. The point is, one of them is not the same type of thing as the other two.
Let me try to give you another example. Suppose that I was asked to classify a list of things as "Red," "Blue," or "Solid." Do you see the difficulty that could cause? Ignoring the fact that some things are multiple colors -- let's say nothing on the list was -- "Solid" is a completely different type of qualifier from "Red" and "Blue." Lots of things are completely blue and completely solid; ditto red.
The situation with these three categories is the same. Even allowing the unfortunate definition of "Opinion" here used, "Opinion" and "Reasoned Judgment" both refer to a type of belief. A "fact," though is not a type of belief at all. A fact is an objective feature of the world which is ASSERTED by EVERY type of belief.
In other words, the statement "The earth goes around the sun" is BOTH a fact AND a reasoned judgment. The statement "There is a teacup orbiting Jupiter" is an unsupported belief -- "opinion" in this definition. It is probably not a fact, though we haven't checked for certain.
"There is definitely intelligent life on other planets" may or may not be true, that is, we don't really know whether or not it is a fact; as a belief, it is probably not that well supported by evidence (obviously, there is disagreement about this, however). The disagreement has no impact on whether it is or is not a fact, though.