Answer
$P(E)=\frac{1}{38}\approx0.0263$. It means that, if we play the game 3800 times, we would expect that the metal ball falls into the slot marked 8 about 100 times.
Work Step by Step
A wheel consists of 38 slots: $N(S)=38$. All slots are equally likely.
Event: the metal ball falls into the slot marked 8.
$N(E)=1$. Now, using the Classical Method:
$P(E)=\frac{N(E)}{N(S)}= \frac{1}{38}\approx0.0263$