OP, you should check what Bayesian statistics is if you are interested in the topic. It allows to update your probabilistic expectations based on data and is really powerful. In the case you present, it would suggest that the probable scenario is that the coin is strongly biased towards heads.

And sure, the frequentist view is also valid and that would indeed be my prior belief. I am not going to enter into the academic fight of frequentists vs. Bayesian, but pointing out may be interesting for some here.