"ARE MY RESULTS FAIR?" CALCULATOR

Summary

This calculator lists the chance of a loss or win occurring. This result is expressed as a percentage, as 1 in ..., and as a number of standard deviations from the average return (SDs). 68% of results fall with 1 SD; 95% of results fall within 2 SDs; 99.7% of results fall with 3 SDs. The calc also returns a chance of bust percentage, which corresponds to reaching the specified loss at any point during the wagering. After selecting the input values, click "Calculate," to display the results. Click "Load Into Sim" to compare with simulator results. For a more detailed discussion of the results, see the interpreting results page. For chance of a win/loss streak, see the streak calculator.

Average loss assumes no influence from bankroll limitations, so results remain the same for all bet sizes. See the return & variance calculator (select limited bankroll) and/or return & variance simulator for estimates with a limited bankroll. Chance of loss approximates return as a normal distribution with no influence from bankroll limitations. This is a good approximation for blackjack and other games without rare high payouts. However, the distribution of video poker return does not appear like a true normal curve until reaching enough hands to hit a royal flush. Chance of bust (risk of ruin) includes influence from bankroll limitations. It corresponds to the chance of busting with a bankroll of the "size of loss" input.

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