Joe Galaxy is the astronaut for project Pluto. Mission success or failure depends only on behavior of three major systems. Joe decides the following assumptions are authentic and apply to the performance of an whole mission: (1) The mission is a failure only if two or more of the major systems fail. (2) System I, the Wii system, will fail with probability 0.15. (3) If at least one other system fails, no matter how this comes about, System II, the I-pad system, will fail with conditional probability 0.5. If no other system fails, the I-pad system will fail with probability 0.1. (4) System III, the Beer Cooler, fails with probability 0.5 if the Wii system fails. Otherwise, the Beer Cooler cannot fail. What is the probability that all three systems fail?