I do not understand the quesstion.
I do not buy " ..... each outcome is as likely as any other to occur ... "
The question is which is more reliable. I believe it's empirical because that is what we have observed. Would that be correct?
I do not buy " ..... each outcome is as likely as any other to occur ... "
But only for that one trial.
A theoretical probability enables you to predict with reasonable accuracy the outcome of many trials, without having to perform them.
On the other hand, theoretical probability is based on assumptions and calculations, assuming that all outcomes are equally likely to occur. It relies on mathematical models and formulas to estimate probabilities. While theoretical probability can be useful in certain situations, it may not always accurately reflect the real-world probabilities.
In summary, empirical probability is more reliable because it is based on real data and observations, whereas theoretical probability relies on assumptions and mathematical calculations.