Problem 101 Answer

There are six possible sceanarios:

         Truth  Lying  Random
         Guy    Guy    Guy
         -----  -----  ------
I          A      B      C
II         A      C      B
III        B      A      C
IV         B      C      A
V          C      A      B
VI         C      B      A

Label the three men A, B, and C and tell each man who is what letter.

Step 1: Ask A, "Is B more likely to tell the truth than C?" If yes go to step 2, if no go to step 5.
Step 2: Ask C, "Are you the random guy?" If yes go to step 3, if no go to step 4.
Step 3: Ask C, "Is A the truth guy?" If yes then scenario IV, if no then scenario II.
Step 4: Ask C, "Is A the lying guy?" If yes then scenario V, if no then scenario VI.
Step 5: Ask B, "Are you the random guy?" If yes then step 6, if no then step 7.
Step 6: Ask B, "Is A the truth guy?" If yes then scenario VI, if no then scenario I.
Step 7: Ask B, "Is A the lying guy?" If yes then scenario III, if no then scenario IV.

Michael Shackleford, A.S.A.