RestlessSoul
Well-Known Member
Not even close to being true. Take, for example, the molecules of gas in your room. The probability of those molecules each being on the side of the room that they are is far, far, far lower than that 1 in 10^70 figure. But it objectively is the case.
The problem comes from calculating the probability of some specific outcome as opposed to the probability of there being *some* outcome that meets certain criteria.
Also, as a side note, way too many calculations leading to small probabilities are of specific outcomes and are found by multiplying probabilities that are *known* to not be independent (thereby negating the calculation itself). Often, when even simple experiments or simulations are done, these calculated probabilities are shown to be horribly wrong because consideration was not made of multiple routes to similar results.
Not sure I understand your point about the distribution of gas molecules. If probability is spread out evenly among all possible states, then any random distribution of molecules is equally probable. The 1 in 10^70 figure (it isn't mine and I wish I could remember where I came across it) would only apply, in your example, where an extremely special, low entropy state existed; such as all the gas molecules being gathered on one side of the room.