  In the present note we study the interrelations between the sets of so-called
typical numbers and numbers that are normal in base two. Employing results by
Nakai and Shiokawa, we exhibit examples of numbers that belong to one set but
do not belong to the other and vice versa. Moreover, we demonstrate the set of
typical numbers is $\Pi_3^0$ in the Borel hierarchy, i.e., it can be expressed
as the union of countably many $F_{\sigma}\text{-sets.}$ Using the result by Ki
and Linton that asserts the same for normal numbers, we examine the Borel
complexity of the set of typical numbers that are not normal, proving that it
belongs to the $\Delta_4^0$ class.
