No they are not, not entirely. Since they have 80% magic resistance (ball of lightning does magic damage) they only receive 1/5 of the original damage. So instead of loosing 20-50% of their numbers, they loose only 4-10% of their numbers. Ball of Lightning targets the unit in range that it does most damage to, that is why black dragons are seldom targeted.
Astral damage is the way to go against black dragons. Spells like Death Star and Trap works nicely. Fiery Phantoms are the best pet ability against black dragons.
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