Answer
$\dfrac{2}{5}$ or, $40 \%$
Work Step by Step
The probability that the $P$ lies on the segment $\overline{EI}$ can be computed as:
$P(\text{point on $\overline{EI}$})=\dfrac{EI}{AK}$
Where, $EI=8-4=4$ and $Ak=10-0=10$
Now, $P(\text{point on $\overline{EI}$})=\dfrac{EI}{AK}=\dfrac{4}{10}=\dfrac{2}{5}$ $=40 \%$
