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The performance of automated optical inspection (AOI) systems is constantly progressing toward the ultimate goal of detecting 100％ of real defects with no false alarms. Still, until this goal is reached, there is an inherent trade-off in every detection algorithm between detection ability and false alarms.This paper examines the statistical basis of applying several algorithms simultaneously as a method of increasing detection ability and reducing false alarms. It analyzes the probabilities of missing a defect as a function of the number of algorithms and the individual detection probabilities.The theoretical analysis is followed by a discussion of practical implementation of complementing algorithm types and examples of their detection capabilities for typical defects.The theoretical analysis is followed by a discussion of practical implementation of complementing algorithm types and examples of their detection capabilities for typical defects.