nope
I am sure ( kind of) that you do not if you fight and beat Red first he is at the top of Mt.Silver
beat the elite 4 again then go back to Mt Silver
"red and white and white and red and white and red" is sentence that will produce same meaning if u'll read it from start and then from end but second time replace second red with white and second white with red. If first time u read it from last then second time replace second white from red and second red from white. :V
You can't.But you can on Pokemon soulsilver or heartcold.
There is no way to make Red appear a second time. Climb mount silver. Sometimes he's there sometimes he's not.
gold
You don't
Yes, you can fight Red again. After win against Red, you have to beat the Elite 4 Again and Red will reappear.
Nothing
Red does not have any different Pokemon the second time around. Being the strongest opponent in the game, it would be pretty unfair for Red to come back with stronger Pokemon. Red is basically Ash (from the animated series), and to keep things similar, Red only has Ash's Pokemon in a highly evolved form. Red's Pokemon are the exact same, levels and all, every time you face him.
Pr(Red or Blue) = 0.5833...Pr(R on first pull and Blue on second pull) = 0.0533...
The third and last time you fight him is at the Viridian Gym. He is the leader.