Pedro Martínez: It was a direct answer to your post to me:
You should have said you were speaking of probability of possible "existence" of a certain sequence, not actual rolling it.
Why were you mentioning it in your reply to Chessmaster1000?
But never mind. It hardly matters.

Grenv: Your blocking example is the same the hitting one. Make as long a sequence of blocks(hits) as you like. Then tack on something different.

alanback: "at least if the infinity in question is the infinity that measures the number of integers (referred to I believe as aleph-sub-naught)."
Maybe we have to use one of those other infinities. How many are there? ;-))

Everyone: Perhaps the most important result of all this is that in googling something mathematical I chanced upon a link to some good jokes which you may enjoy. :-DD