not very high get one on eBay or a friend that's how i got ghost rare ancient fairy dragon ( he he i traded it for exodius the ultimate forrbiden lord which sucks)
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The odds of getting a Ghost Rare card is 1 in 36 Boxes.
You can get it either by getting Dark Elements, get it by getting a Random Dragon Egg, or you could get it when you "discover" 33 fully grown dragons in your dragon book. If you read the description with the dark shadow of the dragon, it says, "A very rare dragon which cannot be obtained during adventure" Or something like that
Stardust Dragon is currently always a holographic rare.
If you mean as a pet, there is armored frost dragon which is now rare but was dropped from the frost dragon on mount frost or the armored baby frost dragon which is also now rare but was the reward from the quest Turn Dracolich into Dragon. If you mean how to get to it, then that too is rare but was located in Ice cave (/join icecave) or Mount Frost (/join mountfrost).
There are multiple cards. Older TCG cards like "5 Headed Dragon" and "Dragon Master Knight". The Egyptian God cards like "The Winged Dragon of Ra" are very rare as well. Unfortunately, Berserk Dragon isn't rare at all. All in all, any card can be rare, it's the matter of finding them/.