PDA:Palm OS:Games:Cards
Views 432 (+0) / Rating 5.00 / Freeware By AdvMathAppl
Smart Gambler's Calculator allows one to account the main parameters for fixed-size and fixed-fraction betting.
The main input parameters are grouped into several groups. The first group contains data about the properties of a single look: probability of winning the look, and the reward (prize-to-bet ratio). The second group contains parameters of the gambler's "console zone": bankroll, amount of games to frolic (or amount of bets to home), and desired lucre or prize-to-win in these games / bets.
The calculator shows the expected value (lucre / lose in the long execute) and standard divergence (variability) of this gambling or investment opportunity.
For the set look, the probabilities of reaching the goal and of losing the bankroll are calculated.
For the fixed-fraction betting strategy, the optimal fraction (percentage) of bankroll is determined.
In contrast to Kelly's organisation, in which it is assumptive that a thespian is a risk-averse individual (so not a gambler) and which is applicable only to games with irrefutable expected values, this organisation has none of these restrictions. The optimality is determined in the following manner. First of altogether, the optimal fixed-fraction look should derogate the probability of ruination. In theory, if money were "infinitely divisible, " the probability of ruination in fixed-fraction betting is zip. The second objective / criterion is to maximize the probability of reaching the conventional goal, and the third objective / criterion is to maximize the expected value of the thespian's bankroll, study to restrictions set by the previous criteria.
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