Firstly, the phrase "...it would be statistically impossible" doesn't make sense. If something is impossible, it doesn't happen, and no statistics are involved. If something is possible (no matter how improbable), it has a greater than zero statistical chance of happening. These are really just the definitions of impossible and possible. I don't think i am just nit-picking here. A great many arguments presented on this forums topics make the statement that some probability is so small that it is essentially zero. Of all the numbers, and there are a whole bunch of them, only one gets to be essentially zero. (and no, its not the square root of pi.)
I think the previous posts have addressed what you were most likely referring to, but before the current hubbub about the likelihood of our universe existing arose, there was equally heated discussion about the
Drake Equation , which is also described here:
Wiki Article on Drake Eq. .
This equation, put forward in 1961, tries to estimate how many planets in our galaxy are currently occupied by technologically advanced civilizations. The real value of studying the discussion that evolved around this equation is to see just how easy it is to come up with something that seams to be scientifically or mathematically valid but is really just nonsense because of the lack of knowledge surrounding its key aspects. It has been shown that even very small changes in the values of fundamental constants or laws will radically change the nature of our universe, but there is no way to determine whether there might be other combinations, or even an infinite number of combinations, that could lead to complex structures of 'stuff'.