I was using bitcoind to send directly to the address. I can't verify all of the games until more than 24 hours has passed, since the site uses the time of processing to choose the secret used (which it shouldn't, it should use the time recorded in the block chain for the transaction).
I don't know what you mean by "independent," I lost 21 games consecutively. If we round the <32k game to 50% chance of winning, it's like a coin flip, where the chance of flipping heads is 1/2^1, or 1/2. The chance of flipping 2 heads in a row is 1/2^2, or 1/4. That would make my run of 21 losses about a 1/2^21 chance, or 1/2097152.