I don’t really see how? A frequentist would just run this a few times and see that the outcome is 1⁄2.
In practice, for obvious reasons, frequentists and bayesians always agree on the probability of anything that can be measured experimentally. I think the disagreements are more philosophical about when it’s appropriate to apply probability to something at all, though I can hardly claim to be an expert in non-bayesian epistemology.
I agree that frequentists are flexible about their approach to try to get the right answer. But I think your version of the problem highlights how flexible they have to be i.e. mental gymnastics, compared to just explicitly being Bayesian all along.
I don’t really see how? A frequentist would just run this a few times and see that the outcome is 1⁄2.
In practice, for obvious reasons, frequentists and bayesians always agree on the probability of anything that can be measured experimentally. I think the disagreements are more philosophical about when it’s appropriate to apply probability to something at all, though I can hardly claim to be an expert in non-bayesian epistemology.
I agree that frequentists are flexible about their approach to try to get the right answer. But I think your version of the problem highlights how flexible they have to be i.e. mental gymnastics, compared to just explicitly being Bayesian all along.