Solution:
We know that,
\[P\left( E \right)\text{ }+\text{ }P\left( not\text{ }E \right)\text{ }=\text{ }1\]
So, \[0.59\text{ }+\text{ }P\left( not\text{ }E \right)\text{ }=\text{ }1\]
Hence, \[P\left( not\text{ }E \right)\text{ }=\text{ }1\text{ }\text{ }0.59\text{ }=\text{ }0.41\]