It's not the probability of any specific configuration, but the probability of a specific configuration over any other particular configuration.
All configurations could have an infinitesimal chance of occurring, but one configuration could still have a billion to one chance of occurring over another particular configuration.
Which is especially relevant if we have a relatively recent basepoint of comparison.
An infinite number of monkeys with typewriters might eventually reproduce Shakespeare, but 10000 monkeys doing it on their first try points to causation beyond "chance".
All configurations could have an infinitesimal chance of occurring, but one configuration could still have a billion to one chance of occurring over another particular configuration.
Which is especially relevant if we have a relatively recent basepoint of comparison.
An infinite number of monkeys with typewriters might eventually reproduce Shakespeare, but 10000 monkeys doing it on their first try points to causation beyond "chance".