You're right, according to my table of my probabilities in bingo the probability of any one person getting a bingo within 12 numbers drawn is 0.00199521.
Normally, if the probability of an event happening is p the probability that it will happen at least once in n times is 1-(1-p)n. In this case the probability that at least one person will get a bingo is 1 - 0.0019952175 = 1 - .9980048 75 = 1 -.8608886 = .1391114.
However, in bingo we can't use the method above because all cards go against the same draw of balls. It is hard to explain, but because the cards are arranged in five columns of 15 possible numbers each, the expected number of balls is correlated. It would take a random simulation to properly answer your question. Without doing that, 13.9% is a good rough guess.