I don’t think you understand probability. Let me explain:
The more specifics you include in your description of someone, the more accurate a description you’re creating, if you actually know stuff about them. The more stuff you include, the more you’re likely to fairly accurately describe that person, and only that person.
But the key thing is ‘fairly.’ The more specifics you include in your description, the more you’re likely to be factually wrong about at least one.
This is because P(A and B) =< min(P(A),P(B)). And if A and B are independent of one another, then P(A and B) = P(A)P(B).
So if you’re 90% sure of each of 10 independent attributes you think I have (approximate age, hair color, what state I live in, etc.), and you use all 10 to describe me, the chance that you’ll get at least one wrong, thereby excluding me, is in excess of 65%.
But obviously the fewer attributes you include, the more likely you are to spread too wide a net, and catch others who share those attributes with me: there are undoubtedly thousands of brown-haired men in their 50s who live in Maryland, for instance.
Even if you can toss in a lucky specific that should narrow things way down - like having attended a Dopefest - you still have a good chance of getting multiple me’s. And that’s the sort of specific you’re unlikely to have for Jesus or Spartacus or King Arthur or King David, assuming they were real people.
So if you were limited to what you know about me as a non-Doper, you’d be screwed. You’d almost certainly either cast too wide a net, or too narrow of one. If you somehow managed to get one person, it might well not be me, but someone differing from me in one particular that you got wrong. And I really exist.
Supposing a 20% chance of Jesus’ existence, what you’d want is something like this:
P(invite Jesus) = .2
Which should break down into:
P(invite Jesus) = P(invite Jesus|Jesus lived)*P(Jesus lived) + P(invite Jesus|Jesus didn’t exist)*P(Jesus didn’t exist)
And you’d like the numbers for that to look like:
P(invite Jesus) = 1 * .2 + 0 * .8
The problem I have with your game is that it replaces that 1 with an infinitesimally small number. If you’re going to have a hard time inviting me, inviting Jesus will be impossible.
I have no issue with the .2 and the .8; make those numbers whatever you will. They may be your opinion, but you’ve got a right to your opinion, and I’m willing to assume its correctness for the sake of argument.
But if you set things up so that P(invite Jesus|Jesus lived) is minuscule, then it’s a pretty silly game. That, and only that, is my issue with your game.