First, we'll alter the previous table just a bit (by changing the order of lines 2 and 3) so you can see more clearly what combinations of YES or NO answers you must base your decisions upon for the next two questions:
Six
Possible Combinations

X 
Y 
Z 

1 
T 
L 
R 

2 
L 
T 
R 

3 
T 
R 
L 

4 
L 
R 
T 

5 
R 
T 
L 

6 
R 
L 
T 
Since the Randomizer
can answer any question with either Yes or No, you must consider
the yellow "R" blocks as either "N/A"
(not applicable); because you already know who the Randomizer is, or
as being able to give you both a Yes and No answer to any of your
questions. The solution, of course, is to be able to eliminate all the possible
combinations except for the correct one. [I
was just thinking about how such logic diagrams might relate to what programmers
call either topdown or bottomup programming!]
Still Lost? Or, didn't you even try!? OK, click here for your yet another hint!