What are the chances of anyone accidentally creating the same Bitcoin address? Is it remotely possible or there is some kind of checks before network, software, God or something would do a check first before approving the Bitcoin address. Again, I'm just thinking out loud. Hmmm...🤔
You can easily answer your question by doing this: Download
VanitySearch and follow the instruction on redme.md file.
For example, let's take Satoshi's first address: 1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa.
My GPU is RTX 2060, let's use my GPU with VanitySearch and calculate how long it takes to generate exactly that address.
So, did it and have a look at these numbers:
With 951.41 Mkey/s it takes me 3.37637e+31 years. Keep in mind that
e stands for exponent of 10. This will give you an idea how secure they are. So, don't worry about that, if that was the case, exchanges wouldn't exist.