// multi-utility computation suite · offline · instant · precise
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sci.fault-tree-probability-AND-OR Calculator
Calculates system failure probability from a fault tree with AND and OR gates: P(AND) = P₁×P₂; P(OR) = 1−(1−P₁)(1−P₂). Fault trees with minimal cut sets identify critical failure pathways — aviation systems require failure probability < 10⁻⁹/flight-hour for catastrophic events.
Inputs
P A
Reference formula or conversion factor shown for context.
P B
Reference formula or conversion factor shown for context.
P C
Reference formula or conversion factor shown for context.
Gate1 Type
Reference formula or conversion factor shown for context.
Gate2 Type
Reference formula or conversion factor shown for context.
Results
top event probability P(top)
Sample size or count used in the calculation.
P(A) AND/OR P(B) intermediate gate
The value at the specified point or condition.
gate 1 type
The classification or type assigned based on the inputs.
gate 2 type
The classification or type assigned based on the inputs.
fault tree: AND gate = P(A)×P(B); OR gate = 1−(1−PA)(1−PB)
The value at the specified point or condition.
risk target
Overall risk level based on the computed score or classification. Higher risk may call for mitigating actions or additional review.