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The odds of an event is the ratio of the probability that the event will happen (p) to the probability that it will not happen (1-p).
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Does the Elo system work with different expected value functions?
In many Elo rating systems, the expected value for player A with rating $R_A$ against an opponent with rating $R_B$ is
$$E_A = \frac1{1+10^{(R_B - R_A)/c}}$$
The original Elo system is based on a norm …