Your question is slightly ambiguous. I'll try to answer the one I think you are asking.
There are 263, or 17576, possible combinations of 3 letters. Since there is only one way to make BTC, the probability of a random 3-letter acronym being BTC are 1/17576, or 0.0000568958. The probability of a particular camp not having the BTC acronym is 1 - 1/17576, or or 0.9999431042.
Sorry, I realize I should've phrased it better.
Anyways, that was exactly what I meant. My question should've been: "What are the odds of something significant in your life having the exact same 3 letter acronym of your first investment?" Thank you, that clears it out nicely.