Okay, so lets say you have two good players who know how to coordinate between their countries and you are not playing bids. Since the axis guy is thinking he has about, at best, a 10% shot at winning, I think his best bet is to go for tech.
I almost never roll for it myself in a serious game, but if you consider that if Germany or Japan got either industrial technology or heavy bombers the axis would almost certainly win. On their first round the axis would get 11 chances to get a tech and although I haven’t checked it I believe the chances that one of those 11 comes up as heavies or industrial tech is a better than 10%. Especially if you are playing axis advantage. With jet power and super subs already taken I would say the axis have about a 33% chance of getting a “winning” tech on the first round.
Granted your destruction as the axis would be inevitable if you got something useless or nothing at all, not to mention that this would make the game really boring. Set everything up only to have the game decided by the end of Japans first turn.