I don't think this is an accurate assessment. One of the most obvious error forms was a statistical error (since they were using long neutrino pulses and then using careful statistics to get their average arrival time). That is eliminated in this experiment. Another possible error was that detection of a neutrino could interfere with the chances of detecting other neutrinos which could distort the actual v. observed average (this is a known problem with some muon detector designs). This seemed unlikely, but is also eliminated by the short pulses. They also used this as an opportunity to deal with some other timing issues. Overall, a lot of possible error sources have now been dealt with.
My understanding of the chances is that in the situation above, the chances are still very low until they deal with almost all of the chances of error, and are still low even then.
For instance, dealing with 4 of 9 different sources of error, the calculations I did gave a chance of them being correct is around 1.78%. If they deal with 8 of the 9 different sources of error, they're still only around an 8.33% chance of being correct. (Assuming I calculated correctly as well.)
Also, I do want to clarify/reiterate that I wasn't trying for that much accuracy. 9 s...
Link: nextbigfuture.com/2011/11/faster-than-light-neutrinos-opera.html
Link: science20.com/quantum_diaries_survivor/opera_confirms_neutrinos_travel_faster_light-84763
Paper: kruel.co/paper-neutrino-velocity-JHEP.pdf
Previously on LW: lesswrong.com/lw/7rc/particles_break_lightspeed_limit/