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Spend your coins on the daily quest improvements first - 4 daily quests with the maximum rank improvement gives an average of several hundred a day. I forget what the amount is, but it's worth it if you'll be playing a while.
Anyway, the global slots really are helpful, yes.
I can estimate the values if chances are simply removed and the rest is updated.
After Improve Minimum DQ Rarity I it becomes:
Uncommon: 50%
Rare: 30%
Epic: 15%
Legendary: 5%
Average value of 1 daily quest slot: 218 E coins/day
After Improve Minimum DQ Rarity II it becomes:
Rare: 60%
Epic: 30%
Legendary: 10%
Average value of 1 daily quest slot: 312.5 E coins/day
I did the math once but forget what it turned out to be. There's very likely a thread about it at the kongregate forum for the game.
0/0/84/10/6 gives 277.5 average E coins per quest slot or 1110 average total from 4 slots per day. Spread is between 1000 and 2000 but there is 49.8% chance to get 1000 and only 0.0013% chance to get 2000.