Sorry I didn't attempt the first two. So I have a question
Is there a rule to govern the answering of random answerer ? Like 1 time he speaks truth while 2 time he lies? or something like that?
Do the liars and truth tellers know what the random answer will answer for a given question?
Or in another way of asking it. Is the random answer for a particular question predetermined such that if I go to a truth teller and ask him what the random answerer will answer to a particular question and then go to the random answerer and ask him that question they will always be the same answer?
Asked to truth teller "If I next ask him (the random answerer) if he is a liar what will be his answer ?"
Truth teller: True
Asked to specified random answerer "Are you a liar?"
Random answerer: True
The answer will still be random to us it just means that the liar, truth teller and random answerer have access to the same random number table.
I believe there are several classical definitions for random answerers in these types of puzzles.
RandomFlipFlop: He doesn't look at the question. First time he flips a coin then simply says alternatively either Yes or No.
RandomWeak: Before answering a question he tosses a coin. If it is heads he lies, if it is tails he tells the truth.
RandomStrong: He doesn't look at the question, simply flips a coin and says either Yes or No.
I believe bushindo's random's are RandomStrong (from the wording of the puzzle) since this is the most challenging situation of the three
So randoms are not predictable by others and their answers don't depend on their previous answers.
EDIT: Just seen that bushindo already posted a reply.
Edited by araver, 24 November 2010 - 11:05 PM.