Martinghoul, if eur/usd follows a random walk, then (eur/usd)*x is equally probable as (usd/eur)*x. And (usd/eur)*x=(eur/usd)*(1/x). Therefore eur/usd*2 is equally probable as eur/usd*0,5 and eur/usd*3 is equally probable as eur/usd*0,333333.
If you consider this logic wrong, then I will not...