  We study the escape behavior of a lamb to safe haven pursued by a hungry
lion. Identifying the system with a pair of vicious Brownian walkers we
evaluate the probability density function for the vicious pair and from there
we estimate the distribution of first passage times. The process ends in two
ways: either the lamb makes it to the safe haven (success) or is captured by
the lion (failure). We find that the conditional distribution for both success
and failure possesses a finite mean, but no higher moments exist. This makes it
interesting to study these first passage properties of this Bernoulli process
under restarts, which we do via Poissonian and sharp restart protocols. We find
that under both restart protocols the probability of success exhibits a
monotonic dependence on the restart parameters, however, their approach to the
case without restarts is completely different. The distribution of first
passage times exhibits an exponential decay for the two restart protocols. In
addition, the distribution under sharp resetting also exhibits a periodic
behavior, following the periodicity of the sharp restart protocol itself.
