If you have a probability of failure for one year of $p$, you have a probability of no failure for one year of $1-p$. Then the chance of no failure for $n$ years is $(1-p)^n$ if you assume the chances are independent.
If you have a probability of failure for one year of $p$, you have a probability of no failure for one year of $1-p$. Then the chance of no failure for $n$ years is $(1-p)^n$ if you assume the chances are independent.