The problem with throwing stuff into a black hole is that the closest known one is more than 1500 light years away. Voyagers 1 highest speed is 61,500 km/h, meaning it would take Voyager 1 about 17,550 years to travel a single light year and 26 million years to travel to the nearest black hole at that speed and it would then take another millennia and a half to ‘see’ the results here on earth.
So yes, you can totally shoot a probe into the general direction of a black hole, but there won’t be anyone around to see what happens.
We can ‘see’ or at least perceive the results of stuff falling into black holes though and have no reason to assume that a man made probe would be any different.
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