Oh, I understand what you mean.
I also understand that your concept of "entirely possible" is deeply misguided. You think the zero-hugging possibility means you could rationally assume chance accounts for rolling the (1) on that die.
Well, yes. Because it can. Assuming that the system is truly random, any number could have come up.
1. Fallacy: circular argument. You assume your default assumption as a conclusion, then argue that "any number could have come up", given your default assumption/conclusion. Except "any number" didn't come up.
2. What numbers could have come up was not even the question anyway. Your captors' question was
what accounts for that particular number coming up, (chance or a rigged game), the only number out of 10
80! numbers that would have allowed you to be alive to answer the question you refused to answer.
3. Any number
could have come up (given your default assumption),
or the game could have been rigged (not assuming your default conclusion). But you refused to consider that possibility, clammed up, stonewalled, and died with your horse shoes on when the evidence suggested your default conclusion, circularly derived from your default assumption, might not be correct.
If you want to call the integrity of the system into question (and it seems that you do), no result would matter. Examining the system would matter.
You don't always have all the information and options you would like to have (which is what probability is for).
Your captors did not allow you to examine the system. They asked you a question, which you were required to answer correctly or be post-judicially terminated. And you had physical evidence in the form of a 10
80! -sided die sitting there in front of you with the (1) on top.
But you ignored the evidence and it's implication and chose to clam up and die with your horse shoes on. Presumably based on the faulty reasoning that "any number could have come up."
I could give you the benefit of the doubt by assuming that you thought being stubbornly uncooperative might impress your captors with your 'pluckiness'.
But I wouldn't have gone the plucky-clam-up-and-stonewall way. Even if I had bought a bill of goods about how it would be a fallacy to use the die roll result as evidence, I would have simply made a random guess. The choice was binary, so a random guess would have given me a 0.5 probability of guessing right, no matter how counterintuitive the truth of the matter was.
But I haven't bought any bill of goods about how it would be a fallacy to use the die roll result as evidence, so I wouldn't have needed to gamble like that.