playBunny: Both sides roll 5-5 ad infinitum

1st)The probability that both sides will roll a 55 an infinite number of times is exactly zero!
With other words : The game would end in a finite time if every single move is made in finite time.....

2nd)Even if the game will continue with an infinite number of 55 (although this can never happen as i said), that game would be one single game and this doesn't help us in the question of how many Backgammon games exist? Finite or infinite? It's another different subject.......
Well it actually "connects" with the AbigaiIII's theorem, but as i believe this theorem is wrong you understand that.....