(Solved): You have sent your robot to explore a volcanic crater, where the probability of a rock falling and ...

You have sent your robot to explore a volcanic crater, where the probability of a rock falling and striking the robot is 0.001 . The probability that a robot component breaks on the robot when it is struck by a rock is 0.2. Assume: 1. There may be multiple rock falls, but each is independent; 2. A single falling rock may either cause no break or may break only one component; and 3. That there is no other way for the robot to break. The robot is equipped with three cameras. What is the probability that all three cameras will be broken by rocks? Further details to clarify potential doubts: - We consider a total of 3 rocks falling. - The cameras have equal probability of being hit. - A broken camera can be hit multiple times.