PDA:Pocket PC:Games:Cards
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Smart Gambler's Calculator allows one to calculate 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 calculate: probability of winning the calculate, and the takings (prize-to-bet ratio). The second group contains parameters of the gambler's "ease zone": bankroll, issue of games to wager (or issue of bets to localize), and desired benefit or prize-to-win in these games / bets.
The calculator shows the expected value (benefit / lose in the long draw) and standard divergence (variability) of this gambling or investment opportunity.
For the set calculate, 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 organization, in which it is fictive that a musician is a risk-averse human (so not a gambler) and which is applicable only to games with overconfident expected values, this organization has none of these restrictions. The optimality is determined in the following manner. First of completely, the optimal fixed-fraction calculate should minimise the probability of ruining. In theory, if money were "infinitely divisible, " the probability of ruining in fixed-fraction betting is cypher. The second objective / criterion is to maximize the probability of reaching the constituted goal, and the third objective / criterion is to maximize the expected value of the musician's bankroll, national to restrictions set by the previous criteria.
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