It wouldn't be any use. No information can traverse the event horizon: your probe might be inside there, looking around. Hell, it might even make it through to the other side of the black hole! But you wouldn't know it because no light can escape and tell us what's going on.

Of course, the more difficult problem is that there are no black holes (that we know of) inside the solar system. At present, only two probes have made it beyond the bounds of our own solar system, and only by a short hop. The nearest black hole is a lot farther than that.