  We study the tunneling probability of a massive ($m_w$) uncharged scalar
packet out from a near-extremal, static charged black hole (with mass $M$ and
charge $Q\lesssim M$). We show that there is indeed a net probability that a
massive uncharged particle tunnels out from the black hole so that the final
state (with new mass $M'\equiv M-m_w < Q$) does violate the cosmic censorship
conjecture. Nevertheless, the typical time for such a black hole to discharge
(i.e, to absorb charge $-Q$ from its surroundings and then become neutral) is
much smaller than the tunneling time; therefore, the violation is never
attained in practice. Even for a completely isolated black hole (should it
exist), the standard time dilation near the horizon stretches the typical
violation time scale to unobservable values.
