One-word quantifier which expresses "always, except by chance"
Solution 1:
The word I have seen used for this is practically.
"The condition is practically false"
ODO:
practically ADVERB
1 Virtually; almost.
‘the risk of default was practically zero’
Solution 2:
There is a mathematical term "almost always." The accepted definition would be something like:
Almost Always
- Always except in a finite number of cases (or over a zero measure set)
An example might be:
You can almost always divide one real number by another - dividing by zero being the exception. Your example is almost always false.