समानांतर (parallel) में जुड़े तीन स्वतंत्र घटकों वाली एक प्रणाली पर विचार करें। मान लीजिए कि प्रत्येक घटक की विफलता प्रायिकता (failure probability) p = 12 है। पूरी प्रणाली के अभी भी कार्य करने की प्रायिकता f(p) क्या है?

In a CBS network, a branch is connected to the central switch via a primary fiber link and a secondary backup satellite link. The probability of the primary link failing in a year is 5% (0.05). The probability of the backup link failing is 10% (0.10). The central switch itself has a failure probability of 0.1% (0.001). Assuming these are independent events, calculate the total probability (in percentage) that the branch will lose ALL connectivity to the central system during the year.

A bank's Data Center has 100 servers. Each server has a 'Mean Time Between Failures' (MTBF) of 10,000 hours. If the servers operate 24/7, calculate the statistically expected number of server failures the IT department will have to handle in a year (8,760 hours).