The probability that at least one tracker is compromised actually grows sub-linearly in the number of trackers.
Let n be the number of trackers, let p be the probability that an individual tracker is compromised, and assume compromises are independent. Then:
Prob(at least one comp.) = 1 - (1-p)^n ~~ np.
In other words, linear in n. This approximation is fine for small n*p. For large n*p, the probability has to be <= 1 of course, so the real probability is sublinear.
Let n be the number of trackers, let p be the probability that an individual tracker is compromised, and assume compromises are independent. Then: Prob(at least one comp.) = 1 - (1-p)^n ~~ np. In other words, linear in n. This approximation is fine for small n*p. For large n*p, the probability has to be <= 1 of course, so the real probability is sublinear.