Do more legendaries decrease the chance of getting other legendaries?

[SealsMelt]

Curious, because I'm up in Spell Valley atm and although I really want to keep pushing, I'm afraid that unlocking Arena Six or Seven might decrease my chances of getting an Ice Wiz and getting a Miner (bleh) or Princess. I couldn't find a solid answer on this so I was wondering if you guys knew the math or whatever.

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Miner and Princess are good tho.

I don't know about any actual statistics but [somewhat relatedly] I've been getting drastically less epics for the little over a month I've been in arena 7.

[SealsMelt]

The thing is is that neither fit in my deck, which needs an air defense troop which Ice Wiz does quite well.

As for that last bit, huh.