  In this paper, we discuss the emergence of extreme events in a parametrically
driven non-polynomial mechanical system with a velocity-dependent potential. We
confirm the occurrence of extreme events from the probability distribution
function of the peaks, which exhibits a long-tail. We also present the
mechanism for the occurrence of extreme events. We found that the probability
of occurrence of extreme events alternatively increase and decrease with a
brief region where the probability is zero. At the point of highest probability
of extreme events, when the system is driven externally, we find that the
probability decreases to zero. Our investigation confirms that the external
drive can be used as an useful tool to mitigate extreme events in this
nonlinear dynamical system. Through two parameter diagrams, we also demonstrate
the regions where extreme events gets suppressed. In addition to the above, we
show that extreme events persits when the sytem is influenced by noise and even
gets transformed to super-extreme events when the state variable is influenced
by noise.
