There is, technically no "other side" to a "conventional" or
non-charged, non-rotating black hole as all forces pull inwards towards the singularity creating a non-constant but generally spherical event horizon. Any matter that reaches the event horizon is generally agreed to be pulled irreversibly towards the singularity. Matter cannot "pass center" and be ejected out the other side, and though no one knows for sure what happens at singularity, you can be assured that due to the awesome storm of speed, radiation, pressure and distortions in space and time itself experienced on the way in, any matter that crosses the event horizon would not in any way resemble itself by the time it reaches or approaches singularity.
BIG HOWEVER, though - in the event that we encounter a
charged, rotating black hole, there is some glimmer of hope for you space-warp cadets
and time-travel adventurers. In this type of BH, there can exist the possibility of "voids" in the time/space or, effectively - a worm hole. In theory, if one can avoid the other singularity and traverse the wormhole, one will emerge in a totally disconnected reality, universe or dimension. Even more spectacularly, as you accelerate to an infinite, time-warping velocity, if you could continue to observe what's going on outside of the hole, you would be able to see both backward and forward in "time" and watch the universe evolve from beginning to end! Make sure you have travel insurance before embarking, though, because acceleration to "infinite velocity" would be accompanied by an infinite shift towards the blue end of the light spectrum and a corresponding massive dose of radiation.
As for the eventual "explosion" of a black hole, they meet their demise in quite the opposite fashion. Instead of continually gorging itself on matter until it bursts, a black hole starved of new matter is more likely to very slowly shrink or "evaporate" to below a critical threshold of mass (roughly in the order of one lunar mass, as mentioned in my prior post) at which point it rapidly implodes in on itself in a blinding flash of light and a burst of gamma radiation.
I will do some research to see if there is anything new out there as I'm sure some theories may have changed as science gains a greater insight into this incredible phenomenon.
EDIT: Ron - the very nature of a black hole as we currently "understand" it probably precludes the possibility of any kind of probe. Even if one could survive briefly after passing the event horizon, it wouldn't be able to transmit anything back out.
EDIT 2:
De political post by de Capell seems to have thankfully been de leted so please disregard de heading of dis post.