  We study densities introduced in the works of Rubinstein--Sarnak and Ng which
measure the Chebyshev bias in the distribution of Frobenius elements of prime
ideals in a Galois extension of number fields. Using the Rubinstein--Sarnak
framework, Ng has shown the existence of these densities and has computed
several explicit examples, under the assumption of the Artin holomorphy
conjecture, the Generalized Riemann Hypothesis, as well as a linear
independence hypothesis on the zeros of Artin $L$-functions. In this paper we
show the existence of an infinite family of Galois extensions $L/K$ and
associated conjugacy classes $C_1,C_2\subset {\rm Gal}(L/K)$ for which the
densities can be computed unconditionally.
