  In (S.B. Ekhad and D. Zeilberger, 2020) an exciting case study has been
initiated in which experimental mathematics and symbolic computation are
utilized to discover new properties concerning the so-called Absent-Minded
Passengers Problem. Based on these results, Doron Zeilberger raised some
challenging tasks to gain further probabilistic insight. In this note we report
on this enterprise. In particular, we demonstrate how the computer algebra
packages of RISC can be used to carry out the underlying heavy calculations.
