"Evolutionists live and die by eight words: “Give me enough time, and anything can happen.”"
That's essentially the Law of Large Numbers which, while applicable to biology, is really a probability thing and hence it would be mathematicians that say such things, if anyone would.
"They make statements like: “If all the monkeys in the world were sitting at all the typewriters in the world, eventually they would produce the works of Shakespeare by random chance.”"
Since there's a finite amount of letters in the English alphabet and a finite number of punctuation marks and a finite amount of ways both can be put together then yes, if given enough time and enough monkeys you would eventually end up with all the works of Shakespeare. In fact, in order to get Shakespeare you might even end up with a number of author's works prior.
What your problem is with this little thought experiment isn't quite clear. Perhaps you just can't comprehend it? Either way, natural selection is not "random chance" or, as I often point out, its cousin "luck".
"This is all pure nonsense."
No, both points are actually quite sensible. Perhaps not feasible, but sensible none the less.
"It is only smoke and mirrors. This is the evolutionists’ use of stage magic to try and support a fairy tale for adults"
That would be what the creationists keep trying, and getting caught doing.
"It doesn’t matter how much time you might have, some things simply will not happen in spite of all the faith you might have. For example, you will never throw the number seven (the most common combination of two die), with a fair pair of dice, 27 straight times."
Again, probability says you will given enough rolls.
"It is mathematically impossible."
Actually, it's a mathematical certainty. In fact, much like with the Shakespeare example above yielding other authors works before you get all of Shakespeare's, you might possibly roll other numbers 27 times in a row before you rolled 7's that many times.
"It will not happen by random chance; it cannot happen! Faith or no faith, it will not happen."
Saying so does not make it so.