I don't think it is impossible, it will just be slow.
Yes, that's why I said "fast game"

.. for a fast game like dice
let's say this problem is solved and investors can't be cheated by casino owners. it will not solve the hit n run option for a casino owner imo and this would mean that investors coins are always at risk
I agree.
Although in theory in the future there could be true decentralized trust-less gambling/investing with sidechains and investors that run some program to sign transactions/bets on the fly (like JoinMarket.) That would mean all investors have to put their BR in a (own-controlled like their own computer) "hot wallet" though and it's not as fast as dice now. Also I am not sure how the random process would work (either dependent on miner or third-party like most ETH smart contract gambling atm.) So I am not sure how practical it will all be, but sounds like a technical interesting project when the time is there
