>>> What's randomness in a coin toss? If we had all the information we could perfectly predict the result of a toss. But if we know nothing then at most we can

>>> What's randomness in a coin toss? If we had all the information we could perfectly predict the result of a toss. But if we know nothing then at most we can say is that both outcomes are equally probable. That's because you know it's a coin toss. If it was something else like whether a seed will germinate or not, I wouldn't assume equal probability. Admittedly, this is something that's always puzzled me about Bayesian statistics, though I'm not sure it's fundamental.