"Throw a dice six times.
On which throw will a six show on top?
The above is the problem with probabilities."
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I wouldn't call it a "problem" - it's more of a
limitation (I'll assume that that's what you meant).
But then, mathematicians recognize this limitation and so should you. While you are correct in noting this limitation, you shouldn't toss the baby out with the bathwater. What I mean is that a limitation doesn't render something completely useless.
Specifically, as you say, probability math doesn't allow the answer to your question (on which toss does the six come up?) except with an associated error bar - not very useful. But this same math
does allow us to be extremely confident (essentially
certain) that two-hundred consecutive sixes will not come up on two-hundred consecutive tosses of a fair die.
Couple this result with the concept of 'probabilistic resources' and we have a very powerful tool for addressing abiogenesis within the naturalistic worldview.
In Christ,
Joralex
™ Version 4.2