Explanation
The probability of an event A not occuring is given as;
[tex]P(A^{\prime})=1-P(A)[/tex]Therefore;
Since
[tex]P(A)=\frac{2}{5}[/tex]We will then have;
[tex]\begin{gathered} P\mleft(A^{\prime}\mright)=1-\frac{2}{5} \\ P(A^{\prime})=\frac{3}{5} \end{gathered}[/tex]Answer:
[tex]P(A^{\prime})=\frac{3}{5}[/tex]