What is the tl;dr version of why I should trust you?
My advice, you should not unless you are willing to give me and bit-lottery a try...
Apart from the trust issue coinnewbit mentioned, there is another problem I can think of.
Each round needs 2 player at least to start waiting on the next block.
After a round has started people can buy tickets for that round till next block is found and then the round stops and picks a winner.
It may be hard to have at least 2 players in each round as a block is found in just 10 minutes on average, unless you have a large number of active frequent players.
Actually you might hope in when the block time left to be found is around 3-4 min.. if time becomes a need then we could change the Bitcoin blocks to litecoin blocks and we'll have faster block time generation that would mean less time between rounds.