  The remaining travel time of a plane shortens with every minute that passes
from its departure, and a flame diminishes a candle with every second it burns.
Such everyday occurrences bias us to think that processes which have already
begun will end before those which have just started. Yet, the inspection
paradox teaches us that the converse can also happen when randomness is at
play. The paradox comes from probability theory, where it is often illustrated
by measuring how long passengers wait upon arriving at a bus stop at a random
time. Interestingly, such passengers may on average wait longer than the mean
time between bus arrivals -- a counter-intuitive result, since one expects to
wait less when coming some time after the previous bus departed. In this
\textit{viewpoint}, we review the inspection paradox and its origins. The
insight gained is then used to explain why, in some situations, stochastic
resetting expedites the completion of random processes. Importantly, this is
done with elementary mathematical tools which help develop a probabilistic
intuition for stochastic resetting and how it works. This viewpoint can thus be
used as an accessible introduction to the subject.
