Pot is $ in poker pot

minBet is minimum amount you must bet to play

pot odds are calculated by
b = Pot/minBet

p is the probability of winning a poker hand:

0.0 <= p <= 1.0

q is the probability of loosing a poker hand:

q = 1.0 - p

f is the calculated kelly bet

f = ( b * (p-q)) / b

substituting b with Pot/minBet

f = ( (Pot/minBet) ( p - q )) / ( Pot/minBet)

Solve for max f such that

f >= minBet and,
f <= Pot

I did this with a loop incrementing the value for minBet until it was
>= (f + delta)

That calculated value of "f" is the max value meeting the constraints.

Anybody have a suggestion on how to solve this explicitly and not use
a loop?





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