alanback: "As White Tower suggests, the laws of probability do not apply to infinite sequences. They are meaningful only in the context of a finite sequence."

Actually we can't blame the laws of probabilities for not being meaningful at an infinite number of rolls, but our brain's incapability to understand the infinite........


playBunny: "What is the probability that the sequence "Endless 5-5s" exists in the infinite set of all dice roll sequences?
A: 1 "

Since this infinite set contains ALL dice sequences, it's reasonable that it will contain and the "Endless 5-5s".......
So it's 1 or 100%....


Now, what AbigaiIII said about different possible Backgammon games was correct and his proof was correct, but i have found a link that states that the number is 10^140 and not infinite. Perhaps it defines with another way the "game". I will investigate this tomorrow..........