Let:
A = The ball lands in an even-numbered slot
a = Total even numbers
N = Total of numbers
so, the probability that the ball lands in an even-numbered slot is given by:
[tex]\begin{gathered} P(A)=\frac{a}{N} \\ P(A)=\frac{18}{38} \\ P(A)=\frac{9}{19} \end{gathered}[/tex]