There are a lot of questions coming in. I'll try to answer as many as I can, but we'll also work to put together a FAQ about the Dungeon System and LFR tool to spread awareness about the way they function.
Please bear in mind all of this functionality is subject to revision during the public testing process.
Q u o t e:
Is there going to be some information released about minimum gear item level requirements, and how to calculate them? I doubt it will be an issue for most characters, but from observation on the PTR it looks like brand new level 80s and some very undergeared alts are going to be unable to queue for both ToC/Icecrown normal instances and all Wrath heroic instances through the new system. More feedback than "get better gear" would be helpful in that case.
We'll look into this.
Q u o t e:
When is the particular dungeon determined and is it fixed if you degroup? Say you find yourself assigned Oculus and you have no desire to do that. If you degroup (taking the deserter debuff) and jump back into LFG 15 minutes later, are you locked into having Oculus once it has been assigned once even though you haven't completed it?
The dungeon is determined once the group is filled. If the group does not like the instance that's been selected, they can leave, get the Deserter debuff, and try again to get a different random dungeon once the 15-minute debuff dissipates.
Q u o t e:
Are the random dungeon emblem rewards independent based? By this I mean, say I join a group where a few members already did their first random dungeon for the day, but I have yet to do a reward. Will I still get my 2 Emblem of Frost or will I get 2 Emblem of Triumphs.
As long as you select to do a random Heroic dungeon and it's your first for the day, you will be given the daily reward for completing that dungeon.
Q u o t e:
Is a character still limited to doing each dungeon in heroic mode once per day? That is, if one continues to use the "Random" option, is it possible to get the same heroic dungeon more than once in a day?
I'd assume not; that is, the list of available heroic dungeons would be reduced each time you complete one, until (if you were really keen and fast!) the list would be empty until the daily reset.
If the Random option is repeatedly selected, players can run the same Heroic dungeon more than once a day. If a specific dungeon is chosen through the Dungeon System, that specific dungeon cannot be chosen more than once a day.
You could technically be given, say, Heroic Culling of Stratholme repeatedly when choosing the Random option and be eligible to repeatedly run that Heroic dungeon in one day. You cannot, however, repeatedly choose Culling of Stratholme in the Dungeon System.
If you run Heroic Culling of Stratholme through the Random option, you cannot select that Heroic instance specifically again in the Dungeon System. If you choose to run Heroic Culling of Stratholme rather than pick the Random option, there is a chance you will be selected to run Heroic Culling of Stratholme again if you pick the Random option later that same day.
Q u o t e:
Cool. So any news on your next move to screw over pugging? Maybe hand out free achievements for killing KT even if you've never stepped in Naxx? Sounds like a good idea. Because people with no experience whatsoever need to cause fails in ToC too right?
Perhaps if you phrased your questions in a more constructive way rather than presenting rhetorical complaints in the form of questions, I'd be inclined to discuss matters more in-depth with you. :)
Q u o t e:
Can a specific dungeon be excluded when you hit the Random Dungeon?
If you are already saved to a dungeon what happens if that turns out to be the one chosen by the Random Dungeon?
No, you cannot exclude a dungeon through the Random option. As I said above, being saved to a Heroic dungeon will not render you unable to run that Heroic dungeon again if it is selected at random.