Shown below is a short video (6:26) on the finely-tuned universe.
[video=youtube_share;UpIiIaC4kRA]http://youtu.be/UpIiIaC4kRA[/video]
I disagree with the video on the plausibility of chance. This point relies on an assumption about the distribution of possible values for the physical "constants." It requires that distribution to be uniform across some range of real numbers. Besides not being able to actually know this distribution of possible values in the first place (due to only observing this universe), it doesn't mean that the physical constants of interest in our universe are improbable - at least, it's not more improbable than any other alternative.
If the distribution of possible values for C is uniform, then the probability of observing any value is equal to the probability of observing any other value. For n possible values, the probability is:
P(C[SUB]1 [/SUB]= X) = 1/n
What the video is trying to say is that, assuming the values of interest are independent, the probability of the intersection of all of those values is a small number:
Where n is the number of possible values for a physical constant C,
P(C[SUB]1[/SUB]C[SUB]2[/SUB]C[SUB]3...[/SUB]C[SUB]i[/SUB]) =
1.......
.......................n[SUB]1[/SUB]n[SUB]2[/SUB]n[SUB]3[/SUB]...n[SUB]i[/SUB]
Given the possible values the video is assuming, then the probability of the intersection of all the constants of interest is indeed going to be a very, very, very small number. The video counts on you being unable to interpret this probability correctly though (granted I don't think the creators of the video are being purposefully deceptive; I think they're just wrong). It counts on you just seeing the small number and concluding that if it's that small, it must be improbable. But this probability can be deceiving - the probability of a constant taking on any particular value equal to the probability of it taking on any other value ; just 1/n. You can't really say that the physical constants observed in our universe are improbable without saying that observing any particular values for the physical constants in ANY universe AT ALL is just as equally improbable.
It's similar to the problem of a lottery winner. Let's say all ticket buyers go out and buy only 1 lottery ticket. The probability of any particular one of them winning is equal to the probability of any particular other person winning. Yet, there is a winner. Is the winner warranted in concluding that his winning is due to design rather than chance, after all his chances of winning were extremely improbable? No, his conclusion would be the result of a selection bias.
To say that observing our physical constants was unlikely, you would have to compare it against some sort of alternatives. To do this you would need data, or at least something other than assuming a uniform distribution. You would need something like an average for each of the constants, then our universe would need to be sufficiently different from average, then you would have to show that ours wasn't due to a statistical error, but rather conscious design. What would really be ideal is data on the physical constants in God-designed and non-designed universes, but given that we only observe this universe and the issue in question is the existence of a designer in the first place.....oh well.
I don't think the video's reasoning on the implausibility of chance is warranted.