the whole game is based upon the fall of reach. and masterchief is the only spartan left so yeah noble team is not supposed to survive.
EDIT: Noble team does die, but Master Chief is not the only Spartan II soldier alive. Read in the books of Halo: Fall of Reach, Uprising etc
EDIT2:All of Noble team dies except for Jun (Team Sniper) who escorts the scientist off reach to Shield planet where more then likely the next halo will take place. So no though Master Chief and his big ego survived the Spartan Program on Reach, He wasn't the only one.
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The team from halo reach? That is the noble team, composed of carter, kat, jun, emile, jorge, and noble six, which is you.
Jun (noble 3) is the only member of Noble Team confirmedstill alive by the end of Halo: Reach.(Although possible that Noble 6 got lucky surviving a near death experience by the end of Halo:Reach, he is still recorded as either confirmed or presumed KIA)
There are six Spartans in halo reach part of noble team; Carter - Noble 1 Kat - Noble 2 Jun - Noble 3 Emile - Noble 4 Jorge - Noble 5 Six - Noble 6
6 there are 6 spartons called team noble and you are playing as the sixth one
There is no noble 7. the team has only 6 spartans in it