## Abstract

Blackjack is a game in which the expected return on a given round differs from that of the previous round, because the pack composition has changed; as a result of the differing return, the bet should change correspondingly. A proper analysis of risk in such a game must account for these fluctuations. Nevertheless, analysis of a simplified game in which the return and bet stay fixed is a useful warm-up exercise, in terms of both the mathematical tools employed and some characteristics of the results. The reasoning here, as in much of this chapter, follows Werthamer (2005).

## Keywords

Diffusion Equation Fourier Representation Effective Yield True Count Drift Diffusion Equation## References

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