Fell When a wizard is doing 3000 damage its against a raid target, not a standard mob, because they need full raid buffs and a SPB to achieve that level. So thats a niche scenario to say they are doing 3000 dmg per nuke.
It's also not 5 seconds, its 6 seconds because you have to account for the GCD in between nukes. You're also just completely ignoring the chance for fizzles, partial resists, and full resists. Which are not marginal at all, and closer to a combine 34% chance between partial + full resist rate.
Mobs that a wizard would fight at level 60 nuking for 2700 damage have about 12,300 HP. Which works out to 4.55 nukes out of a possible 9.3 that wizard could possibly cast. Which means we're using half our mana bar to kill 1 mob. At 3100 mana thats 1550 mana. Then calculating out the mana regen per 6 second tick. That's 170 seconds or 2.8 minutes of sitting we have to do to recover that mana. Which usually the group will kill about 1 mob per minute. Which means theres another 24,600 hp that we haven't touched and missed out on because we're sitting and trying to recover mana to be able to manage our mana to have enough in the tank for burst DPS when its needed.
If we completely kill 1 mob, every 3 minutes, and the group is killing 1 mob every 30-60 seconds. Then you're looking at wiz = 68 DPS . 12,300 HP / 180 seconds = 68 DPS. Compared to an archers 150 or a monks 120. Meanwhile if the group is killing one 12,300 HP mob every 30-60 seconds without the wizards help, then the rest of the group is killing 36,900 to 73,800 damage which equals 205-410 group DPS without the wizard. If the group has something like Fighter, Rog, Archer, Cleric, Wiz, Bard. And the bard is pulling and CCing, the tank is tanking and doing some damage, and the cleric is sitting down to med to heal. That means Figher, Rog, Archer are doing the lion shrae of that 205-410 DPS on those other mobs over that time period. And just to make the math easier to understand lets say the Rog and Archer are each doing 40% and the fighter is doing 20%. How its split between them isn't exactly relevant but lets say they're on par to where they perhaps should be balance wise. That puts the Rogues 40% of that DPS to between 82-164 DPS, Archer is 82-164 DPS, Figher is 41-82 DPS, Healer = 0, Puller/Support/Mez = CCing and not trying to DPS. So while the wiz has done its 68 DPS, the rest of them, even at a slow kill rate of 1 mob per min are all sitting at higher DPS than the Wizard in that short period of time.
