Q2) Water for the processing plant in a mine is provided from three different sources.
Source-1, source-2, and source-3 can provide water to the plant with the success rates of
80%, 75%, and 90%, respectively. Assume that if only one of the sources succeeds, the
probability to meet the water requirement of plant would be 60%. If any two or more
sources manage to prove the water, 100% of the requirement is met. In case that the water
requirement is not satisfied, what is the probability that source-2 and source-3 fail together?
Note that there is not any partial water flow from the sources in case of failure/success.
Note: This water supply system is different from the system given in Q1. Therefore, do
not consider the figure above when solving Q2.