Equality of Odds

(Equalized odds). We say that a predictor bY satisfies equalized odds with respect to protected attribute A and outcome Y, if bY and A are independent conditional on Y.

The probability of a person in the positive class being correctly assigned a positive outcome and the probability of a person in a negative class being incorrectly assigned a positive outcome should both be the same for the protected and unprotected group members. In other words, the protected and unprotected groups should have equal rates for true positives and false positives.