But: it seems to me you're assuming that the entire $5 current price of Bitcoin is pure speculation, and ignoring that they ARE functioning as money in some fledgling markets. And don't you have to factor in time value of money into the calculation? I'll pay a lot more for bitcoin today if I think there's a 30% chance it will be worth $600 in a year than if I think there is a 30% chance in 100 years.
You're also assuming that the velocity of bitcoin will be approximately equal to the velocity of traditional currencies. I could image it being much higher (less friction in transactions, so more transactions) or much lower (maybe bitcoin will be used mostly as a long-term store of value, with infrequent transactions; what is the velocity of an gram of gold compared to dollars?).
It is a back of the envelope calculation. You are right that there are many factors involved which will skew the numbers in one direction or the other. Nevertheless, I'm pretty sure that the implied probability is correct at minimum within an order of magnitude (i.e. should be between 1 in 12 and 1 in 1200).
If you want to specify some detailed scenario (i.e. assume that it has a velocity similar to gold [implied probability will go way down (not sure about velocity of gold)], and develops to its full extent in 20 years [implied probability will increase by about a factor of 2.5], and has a current use value of $1 [probability will go down by a factor of 4/5]), then I would be happy to investigate the implied probabilities. There is no way of justifying what the right scenario to look at is.
The only thing that would likely lead to a substantial increase in probability is much higher velocity than other currencies. I'm not sure if I'm buying this though. If the currency is intentionally deflationary (like gold), its velocity is likely to be lower, not higher.
Finally, more or less, none of this stuff matters for the design of bitcoin. It is just about interpretation of its success probability. Don't be over optimistic.