Sending a probe into a black hole is currently beyond the capabilities of our technology, and there are several reasons why NASA or any other space agency has not attempted such a mission.
Extreme gravitational forces: Black holes have an incredibly strong gravitational pull that can even trap light. The gravitational forces near a black hole are so intense that they can tear apart any known material. It would be extremely challenging to design a probe that could withstand these extreme forces.
Information loss: Once an object crosses the event horizon of a black hole, it is believed that all information about that object is lost. This makes it nearly impossible to gather meaningful data from inside a black hole. Anything sent into a black hole would be effectively destroyed and inaccessible for scientific analysis.
Distance and time: Black holes are located at vast distances from Earth, making it difficult to reach them within a reasonable timeframe. Additionally, black holes themselves are not static objects but evolve and change over time. By the time a probe reached its destination, the black hole might have significantly altered its properties or even ceased to exist.
Technical limitations: Developing a probe capable of surviving the extreme conditions near a black hole and transmitting data back to Earth would require significant advancements in technology. We currently do not have the necessary materials, propulsion systems, or communication methods to achieve this.
While scientists continue to study black holes using observations and theoretical models, sending a probe into a black hole remains a distant prospect due to the immense challenges involved. Nonetheless, advancements in technology and our understanding of physics may eventually allow us to explore these mysterious cosmic objects more closely in the future.