Equality of Opportunity

(Equal opportunity). We say that a binary predictor bY satisfies equal opportunity with respect to A and Y if Pr{bY = 1 | A = 0; Y = 1} = Pr{bY = 1 | A = 1; Y = 1}.

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