It's more than half the probability of getting a critical in D&D, which is something that happens all the time.
If during a particular day you judge that you have a 3.1% chance of running into another car due to winter weather and no winter tyres, you leave the car home that day.
We also must consider that the likelihood for this specific event has been increasing, no one says this is as high as it goes.
As the measurement of the asteroid's position and velocity becomes more accurate, it's going to increase (still possible with smaller error bars on the measurement) or be set to zero.
Only if your definition of negligible is <= 3.1%. In many context, those are unacceptable odds.
Your comment reminds me of: https://bash-org-archive.com/?2999
3.1/100 sounds negligible at first, doesn't it? But now think about if every 3 words per 100 in a book were misspelt.
Think about how much more critical this would be in safety situations. What about 3 of every 100 cars getting in an accident on the nearest interstate highway by your home? Surely in one day that would be a historical amount in any major metro. It would be national news.
But with enough repeats over time, it eventually becomes inevitable.
I don't think you understand statistics.
Up until the earth is outside that zone and the chance drops to zero. So expect the "percentage chance" to keep rising until they have enough to data to rule it out entirely.
Why can't astronomy be a more exact science? Well, how much are you willing to contribute to launching more space telescopes for this? And is the budget for NASA currently increasing or not? ( https://news.ycombinator.com/item?id=43090862 )