So, you are interpreting probabilities as subjective beliefs, then? That is a Bayesian, but not the frequentist approach.

Having said that, it's useful to realize that the concept of probability has many different... aspects and in some situations it's better to concentrate on some particular aspects. For example if you're dealing with quality control and acceptable tolerances in an industrial mass production environment, I would guess that the frequentist aspect would be much more convenient to you than a Bayesian one :-)

If an event is likely to happen, then your uncertainty that it will happen is low.

You may want to reformulate this, as otherwise there's lack of clarity with respect to the uncertainty about the event vs. the uncertainty about your probability for the event. But otherwise you're still saying that probabilities are subjective beliefs, right?