Please list one die result (just one) that would allow one to rationally conclude that the die is not rigged.
It looks like I was right, Toontown's problem is indeed a refusal to accept that 1,2,3,4,5 and 6 are just as likely to come up in a six ball lottery as any other combination of numbers.
I've had some success at getting people to grasp this by putting it the other way: whatever set of 6 numbers they choose is just as
unlikely to come up as 1,2,3,4,5 and 6. That's what odds of 1 in 14 million means.
I've also had some success by taking them through it step by step, like this:
1. Suppose you put 49 identical white balls into the lottery machine and press the button. Are any six of those identical white balls any more or less likely to come up than any others? They can see immediately that the answer is no.
2. Now suppose you decide to make each ball different to all the others by making them a slightly different colour. So each ball is a unique colour/shade. You put all 49 of these uniquely coloured balls in the machine and press the button. Is any particular combination of colours any more or less likely to come up than any other? Again, they can see that the answer is no.
3. Now you decide to use marks, rather than colours, to uniquely identify the balls. The marks you decide to use are the numbers 1 to 49 .....
At this point the idea that nothing you put on the balls will make any difference to their likelihood of emerging from the machine is finally grasped.
If you have a die with 10 80! sides and you choose to uniquely identify each side by marking it with the numbers 1 to 10 80! then every one is as incredibly unlikely to come up as any other when you throw it. Including the side you have arbitrarily marked '1'. But one of those 1 in 10 80! sides
must come up, and it's no less likely to be the one with that particular mark as it is one with any other mark.
Of course if it was possible to do this experiment you'd just get a random side out of all the possible sides. Just as Jabba, Toontown and I are random people out of all the possible people.