Re: the [0,1] game
If one solved this, then they would be very close to solving the 0,1 game. The only two differences is that 0,1 is lowball and has an infinite number of hand values, where this is played for high and has a finite number of hand values. The principles remain the same though.
But 15 bets is the correct number of bets to put in disregarding folding and bluffing. I got that answer from basically working backwards from the examples given in the 0,1 game. So setting r^x = .000001 (the fraction of hands that is equal to or greater than 999,999).
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