This isn't a practical strategy, and I do mean "until". The gambler must also be willing to play an unbounded number of games. This is not nearly as big an assu

This isn't a practical strategy, and I do mean "until". The gambler must also be willing to play an unbounded number of games. This is not nearly as big an assumption as the unbounded money assumption since in practice we rely on probablistic processes that may run forever all the time. There is no guaranteed algorithm for generating a number between 1-7 uniformly random using coin flips; all such algorithms can keep generating bad data which can't be mapped to 1-7 (it's just increasingly unlikely).