Appologetics: The Law of Large Numbers

In continuation of my last post I want to discuss another issue that came up recently in an argument with an atheist. When confronted with the idea that Ockham's Razor works much better for the theory of creation than for that of evolution, he turned to the Law of Large Numbers. This is a common tactic. Obviously that probability of life happening randomly is very small. Actually the probability is zero. And the probability of it happening over and over is even smaller. P(A∩B)=P(A)*P(B). That is the probability of A and B happening is the product of their individual probability. Remember, that when you multiply 2 fractions (i.e. very small number; less than one; approaching zero) you get an even smaller number. So, the laws of probability say that there is even less chance of having 2 highly improbable events occur. Now, the evolutionist grants all this ("The probability is zero but we are here…") and then trots out the Law of Large Numbers to argue that in an infinite amount of time anything could happen. Here are my 2 responses.
Remember, that when you multiply 2 fractions (i.e. very small number; less than one; approaching zero) you get an even smaller number. So, the laws of probability say that there is even less chance of having 2 highly improbable events occur. Now, the evolutionist grants all this ("The probability is zero but we are here…") and then trots out the Law of Large Numbers to argue that in an infinite amount of time anything could happen. Here are my 2 responses.

First, this kind of reasoning means that any kind of miracle could happen, right? I mean, if a random electric shock could make a protoplasm coalesce into a living single-celled organism then is it any less likely that some how the Sun could stand still for Joshua for a few hours? Or that a virgin could conceive a child? Or that a man could come back to life? Basically, the naturalistic philosopher wants to reserve this kind of magic for his own presuppositions!

Second, this is not what the Law of Large Numbers really says anyway. Without being too technical the Law of Large Numbers throws out outliers instead of proving their existence as the evolutionist is trying to use it to do. Let us examine a common example of the Law. There are 2 sides of a coin. So naturally we know that the chances of getting either a "heads" or a "tails" is 50% on any coin toss. As we toss multiple times we expect to see about half-in-half of the two sides. But if we actually start tossing we may see 7 of 10 heads and 3/10 tails. Is our probability wrong? No, the Law of Large Numbers says that while at low sampling we may see this kind of aberrancy, that as the numbers get large these numbers are going to converge on the expected 50-50. So, while we may see 70% heads on 10 tosses, the chance of seeing that 70% on 10,000 tosses is effectively zero. When you start talking about millions you just won't see anything outside of ±0.01%.

So if you get into a debate with an evolutionist who just cannot except miracles and creation here is some ammo to refute them as we stand ready to give an answer of what we believe.