So I'm very intrigued by this distribution.
My thought are that its easier to make a poor deck then it is to make a good one; so I'm thinking the deck quality may look something like this:
Very Good Deck 5%
Good Deck 15%
Mediocre Deck 30%
Bad Deck 40%
Very Bad Deck 10%
So like a 1/20 chance of getting something really good.
I'd love to get other players feedback on what they think the odds are of getting a good/bad deck.