> From a Bayesian perspective, or from a betting one, it doesn't make sense to put probabilities in a confidence interval "Bayesian perspective" covers a lot o

> From a Bayesian perspective, or from a betting one, it doesn't make sense to put probabilities in a confidence interval "Bayesian perspective" covers a lot of territory, and your assertion depends on the situation and the modeling objective. If a probability is a model parameter (for instance, frequency of heads for a particular coin), then summarizing the posterior distribution on that parameter with a confidence interval can be a sensible thing to do. Or do you mean as opposed to a credibility interval?