I have a questiona about Bayesian / Frequentist inferences.

A group of people play a game with dice, now one of them throws the dice 3 times. now if the outcome was 3 for at least one time, then he wins. Now imgine there was some some people who were specialized in Bayesian and other in Frequentist.

Now let (alpha) be the probability of the dice landing on 3.

And we have several statments some could be said by Bayesian specialists and some could be said by Frequentist specialists, and some could be said by both of them, how to find which statment is said by which specialists (Frequentist or Bayesian or both) and why?

1) I assume that alpha should be 1/5

2) I'm confident by 89% that alpha is 1/5

3) We should be more certain, hence it's better to throw the dice more and see the results.

4) I'm pretty sure that this game is not real, therefore we only have 0.5% probability for our dice to be 3.