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Aggregate Failure Probability - The relative likelihood that a given fault group will be isolated, given that a failure has occurred. The aggregate failure probability is calculated by adding up the relative failure probabilities for all functions/failure modes that have been isolated within the given fault group:
The aggregate failure probability associated with a given fault group can be calculated using the following equation:
where
FGx
=
the fault group for which the aggregate failure probability is to be calculated
N
=
the total number of output functions/failure modes
Xi
=
1 if the ith function/failure mode has been isolated within FGx ; 0 otherwise
Rfpi
=
the relative failure probability of the ith function/failure mode
 
Note 1: The sum of the aggregate failure probabilities for all isolated fault groups is equal to the Total Probability Detected.
Note 2: When calculating the aggregate failure probability for fault groups that have been isolated using hybrid diagnostics, the corresponding partial failure probabilities are summed for each element (function or failure mode) in the isolated fault group, the failure probabilities for each object having been adjusted based on the selected failure probability calculation method.