near the end of halo reach (which was by all means a great game, my favourite in fact), Jun and Dr Halsey departed in a pelican when Noble 6, Carter and Emile went to the MAC gun. But in Halo 4, Dr Halsey was still alive but in captivity by the UNSC, which must mean, yep you've guessed it, Jun must have survived. I'm not sure if this theory is correct after all, it is my theory, so if anyone form Bungie or anyone in fact could see if my theory could possibly be correct, because I just came up with this today, so it would be great for me to have an answer.
Thank you,
Jake Loughlen (GustaMeGaming on youtube)
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Jun survived. He's also the one who recommended Palmer for the Spartan-IV program.