- And while I still feel sure that there is a flaw in your logic, describing the flaw isn't easy.
Hopefully we can both agree that 'feeling' like there's a flaw and actually identifying a flaw are different in a quite vital way.

I think the most important thing if we want to come to an agreement on this is to examine it without a lot of distractions - this is a really mathematical thing so we don't need to muddy the waters with your larger formula to discuss it.
And basically, you're claiming that the likelihood of my current existence under OOFLam is even smaller than what I'm claiming (in the sense that 7 billion over infinity times a positive number, or even times infinity, is smaller than 7 billion over infinity.)
That's not really what I'm saying, but also if we're going to do any math we should avoid using infinity like it's an actual number.
Okay, let's try this again and for the first few questions I would ask that you forget your theory entirely. I don't want you to get distracted by it. Just evaluate the following and tell me which points you do or don't agree with.
1. I have a bag of wooden shapes. There are two squares, and two triangles. The only variable we are working with is the shape, so for a specific result I have a 50% chance of getting it. Right?
2. Okay now one of each shape is painted red. If I am looking for two characteristics (both square AND red) then I've got a 25% chance - that's 50% (square) times 50% (red).
3. Every time I add more criteria on the same thing happens. Adding another thing I'm looking for means I multiply the odds together, and since each of those odds are less than 100% the overall odds must go down.
PLEASE confirm if you agree with the above before we try to apply this to your specific theory. I've been in too many discussions on these forums where people (not you specifically

) sidestep the logic part and then dive right back into their specific theory. Establishing this logic is really vital to having a productive conversation. Okay, assuming you've done that and moving on...
4. Since you are trying to establish that we have an immortal part of ourselves (I'm going to call this a soul because it's easy, I'm not trying to put words into your mouth or anything) by referring to probability, we can't just assume the existence of a soul in all cases. That would make your argument circular.
5. So we have to look at the possibility of a materialistic explanation - no soul. We could make a big list of things about each unique person (brain configuration, DNA, whatever - again I'm not trying to put words in your mouth and the exact physical properties you do or don't count don't really matter for this part) but we don't need to do that here. We know that any one specific configuration is extremely unlikely but not zero.
6. I could write out an actual long number with lots of zeros, but since we're just examining the underlying logic and we both know that in the real world this is some extremely small percentage to make the math and typing easier let's just treat it as 20%. As demonstrated above, the principle here works the same way as long as it's less than 100% chance.
7. Having a soul, on the other hand, would not remove all of the factors above. Meaning, whether or not we have a soul we still have a body with DNA and a particular brain configuration or whatever physical properties.
8. You presumably believe that there's more than one soul we could get, so again getting a specific soul is less than 100% chances. Let's call it 50% just to keep it simple, even though it would presumably be at least one in eight billion or so.
9. Since we need to have both a physical configuration (20%) and a soul (50%) we would multiply those together and get 10%.
10. We can replace those percentages with any number we want (such as 0.0000000000000000000000000000001% or whatever) and as long as they're both less than 100% combining them will make the result smaller.
11. Therefore, the odds of a specific self in a materialistic universe are always going to be greater than the odds of a specific self that also has a soul.
I hope breaking it down step by step was helpful to you.