Unlike the number of blades of grass being even or odd, there is not an equal chance of the existence of any given god vs its nonexistence. An abstract kind of god, that does nothing and cannot be observed, there's even odds of that. The moment you start adding qualifiers, like specific actions, interventions, or communication of ideas, the odds veer substantially towards nonexistence. Because there is absolutely no evidence for these gods. At all. You're engaging in a balance fallacy, assuming that just because we're discussing a binary question, that they are equally likely.
If, instead, T group is insisting that the number of blades of grass is a multiple of 31, and the other group is saying that it almost certainly isn't and there's no reason to conclude that it is, the latter is not making a positive claim. And given the enormity of the claims about spirituality and gods, we're talking T group arguing that the blades of grass are a multiple of 4453469872347987609873227683, or some other number so huge that there's no reason to consider it a reasonable claim. Your anti T group is saying "that's ridiculous".
Don't give in to the fallacy.
You missed the point again. It is not about what the probabilities are. 50/50 or 99.99/0.01. They are irrelevant.
There is only 2 possible outcomes from the proposition.
Either it is true that gods exist.
OR
it is true that gods do not exist.
Both are truth claims regarding the possible outcomes.
Theists assert that gods exist. There is no reason to believe any gods exist until there is sufficient, credible falsifiable evidence to promote that belief. This the null position regarding theistic claims. This is the stance of atheists. Atheists do not believe the theistic claims and have no requirement to prove their disbelief.
Anti-theists assert that gods do not exist. There is no reason to believe gods do not exist until there is sufficient, credible falsifiable evidence to promote that belief. I do not know what word would describe the people who do not believe anti-theistic claims. A-anti-theist? Anyway, I won't go into the anti-theistic claim at all because it is a truth claim that requires proof. Instead of wasting time trying to prove that any god in particular does not exist (easy for some definitions of god) or gods generally (eek thousands to disprove), we just need to have theists think about their own claims and the reasons for them.
The justice system:
A person accused of a crime is either guilty or innocent of that crime. These are the 2 possibilities. They may or may not be of equal probability however that is irrelevant.
The justice system does not judge if you are innocent (thank you to whom it may concern), it judges whether you are guilty. (Stop and frisk and anal probes not withstanding)
The prosecution asserts the person is guilty and provides all sorts of evidence to bolster its case.
The jury analyses the evidence and decides whether the prosecution has met its burden of proof.
After deliberation, the jury decides between guilty or not guilty.
The jury does not decide about whether the person is innocent even if in fact he might be.
An atheist has found, after deliberation, that the theistic claims have not met their burden of proof and so the gods are not guilty of existing. An atheist does not care about the anti-theistic claims even though they have, depending on the definition of god, a high likelihood of being true.
In the justice system would you rather have the burden of proof on the prosecution and have the jury decide between guilty and not guilty? Or have the burden of proof on the defense and have the jury decide between innocent and not innocent? (you had better have airtight alibis!)