Say you have 10 independent critical components each with a 0.99 probability of not failing. Well the probability of nothing failing in the system is 0.99^10 ≈ 0.9. So your collection of parts each with a 1% chance of failure has a 10% chance of some critical component failing overall.
Of course it’s more complicated because in real life nothing is really independent, and failure of one component will be coupled to failure in another. This makes simple solutions like redundancy not necessarily helpful (and sometimes even detrimental).
A friend of mine builds a component for a satellite system and the FDIR mechanisms need to be chosen very carefully, as adding more fail-safes can actually make the system overall more error prone.
There's an interesting blog post on from AWS about that topic [0]. Turns out adding more fallbacks and fail-safes is actually discouraged there.
[0] https://aws.amazon.com/builders-library/avoiding-fallback-in...