Which of the following tools begins at the point of failure and works back through...

The correct answer is A. Fault tree analysis . The CSSBB source defines fault tree analysis (FTA) as a systematic, deductive methodology for defining a single, specific, undesirable event and determining all possible reasons that could cause that event to occur. It also states that FTA begins at the system level and assumes that a failure will occur . This exactly matches the question wording: the analysis starts at the point of failure and works backward through lower-level causes and components.

FTA uses logic gates to trace how subsystem or component failures combine to create the top event. That backward logic makes it especially useful for reliability, safety, and root-cause analysis in complex systems. A Pugh matrix is used for concept selection, a cause and effect matrix links inputs and outputs for prioritization, and kappa analysis is used for attribute agreement in measurement-system analysis. None of those starts with the failure event and traces backward through component-level causes. Therefore, based on the CSSBB reference, the verified answer is A. Fault tree analysis .