You add a "salt" or some other known secret or hashed secret, so that people don't attempt to guess what's in the crate by trying all the hashes.
So, I will probably make 25 prizes every round. It will cost ~0.02 Bitcents to buy a crate. Possible prizes will probably include:
6 bombs (elimination)
6 tickets (get what you paid back minus transaction fees if there are any)
5 cents (get half of what you paid back)
8 dollars (get 2x what you sent minus transaction fees)
So, if my math is correct:
We start with a bankroll of 25*.02 = .5 BTC every round.
Six people are eliminated, giving us .5 BTC left.
Six people get their .02 BTC back. .5 - (6*.02) = .38 BTC
Five people get half of the .02 BTC back. .38 - (5*.01) = .33 BTC
Eight people get twice what they paid. .33 - (8*.04) = .01 BTC left
So every round, I will get .5 BTC and will be left with a profit of .01 BTC. This seems fair to me. Does anyone disagree with this system?
Also, how can I set it up so that the hashes and salts will be known by me and the other trusted member but not by anybody else?