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Re-useable launch vehicle uses a hydraulic system to move flight controls and other equipment. It is split into three sub-systems with pressure being provided from a number of different sources to aid safety and reliability. A schematic diagram of the system is given in Figure Q5 1. The sub-systems are called Green (G), Blue (B) and Yellow (Y). Any one of these sub-systems can power the primary flight controls required for safe flight. The hydraulic pumps are powered from various independent sources: the auxiliary turbine generators, electric motors or by a Ram Air Turbine. A Pressure Transfer Unit (PTU) can pressurise the Green Sub-System using pressure from the Yellow sub-system. The vehicle will be uncontrollable if hydraulic power to the primary fight controls is lost, so a Fault-Tree has been prepared (Figure Q5.2) to calculate the probability for this event to occur during a flight. Calculate the fault tree probability of 'No hydraulic supply to the primary flight controls during atmospheric flight' using the event probabilities indicated in Figure Q5 2 . Figure Q5.1 - Hydraulic system schematic diagram Figure Q5.2 - Fault-tree for hydraulic supply failure to primary flight controls. Probability values given are a per flight probability of failure for each event