~ 10, in favor of a biased coin. In practice, I’d say unbiased coins are at least 10x more likely than biased coins in day-to-day life a priori, so we might still think the coin is unbiased. But if we were genuinely unsure to start with, then this would be pretty decent evidence in favor.
If our prior is 10:1 against, and then we receive evidence that would move our belief to be 10:1 in favor of if our prior was 1:1, then shouldn’t we think it’s as likely to be one as the other?
If our prior is 10:1 against, and then we receive evidence that would move our belief to be 10:1 in favor of if our prior was 1:1, then shouldn’t we think it’s as likely to be one as the other?
Correct. Thus “at least 10x” on the prior would mean we’re at least indifferent, and possibly still in favor of the unbiased model.