Let me try a different tack. If you are familiar with D&D, as I used to be, or any of myriad similar games, then you are aware of the twenty-sided die. There are probably dice with more sides than that now, but the twenty-sided will do for this purpose.
Suppose that we are playing a game and a situation arises in which I roll the twenty-sided die, and I must roll a 20 to win (no modifiers, no nothing; just roll a 20). Now suppose that I do, indeed, roll a 20. Huzzah; I live.
But in this scenario, you as the dungeonmaster tell me that I have not rolled a 20 and you can essentially prove it. You say that the probability of my having rolled a 20 is only 5%, while the probability of the alternative (not-20) is 95%. Therefore, not-20.
There are two major problems with your analysis, though. First, The probability of my having rolled a 20 was 5% prior to the roll, but it is 100%.
Second, there is not just one alternative to 20, there are 19, and none of them had any greater a probability than 20 did when I rolled but all of them have a lesser probability now, i.e., the probability that I rolled not-20 is 0%.
You are trying to get a superficial answer to a superficial hypothetical, from which you hope to have gained a rhetorical advantage, and we're not playing that game. If you want to use probabilities then use them correctly. If you want us to change our minds then show us what you can demonstrate, not what you can hypothetically demonstrate.