I added information about the faucet as shown in DuckDice's rules page. The minimum claim is 0.00000078 BTC for the lowest account level, so that's what I added. They also mention that the cooldown period is 3 minutes, and you can only claim the faucet if you beat another opponent or the computer in a tic-tac-toe game.

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Simpledice sent me an email saying that they have removed the faucet feature from their site. I can't confirm it because the site was never working for me correctly. I kept receiving error messages saying I am not eligible to make a claim. Does the Simpledice faucet work for anyone else? If not, I am going to remove it from the OP.