  We investigate the escape of photons from the vicinity of the horizon to
infinity in the Kerr-Newmann black hole spacetime. We assume that a light
source is at rest in a locally nonrotating frame and photons are emitted
isotropically. Then, we evaluate the escape probability of the emitted photons.
The main result of this paper is the following. If the black hole is extremal
with the nondimensional spin parameter $a_*> 1/2$, however close to the horizon
the light source would be, the escape probability remains nonzero. The
near-horizon limit value of the escape probability is a monotonically
increasing function of $a_*$ and takes a maximum $\sim$29.1\% at $a_*=1$, i.e.,
for the extremal Kerr case. On the other hand, if the black hole is extremal
with $0\leq a_*\leq 1/2$ or if the black hole is subextremal, the near-horizon
limit value is zero.
