With my historical knowledge, this 66% is hard to believe. If you have a proper state of situation in Europe and Asia, I believe you can have 66 of accuracy about the state in next 50-100 years. But when I think about all those turnarounds caused by silly luck and single persons, I can't take it seriously in 3000.
Another thing is, 66% is nothing for serious reasoning. You possibly have 34% chance your result will have nothing to do with reality. In compare, physicists need 99.999% (or more, I can't properly remind) to take their results seriously. -- I know, they do not need to deal with the entropy of past time, ... but 34%? Come on. You can fit even mice domination over the world in it.