Assume that the BP rig in the Gulf of Mexico has four major safety devices all connected in a series. The corresponding reliabilities of these four devices are: Device 1: Device 2: Device 3: Device 4: 0.85 0.95 0.80 0.80 Device 2 has a single backup system with identical reliability. Device 3 has a single backup system that has two subcomponents (each with a reliability of .50) that are connected in a series. Device 4 is backed up by two backup systems (each with reliability of .75). What is the likelihood that these safety devices (working together) will prevent another disaster? Please show all calculations.