We extend and solve analytically a bichromatic majority model includin
g color correlation between nearest neighbor plaquettes. The behaviour
of the one color, say black, dominant cluster size is studied as a fu
nction of the black concentration and the correlation degree. This mea
n value shows a divergence with a critical exponent nu. We also define
an order parameter in for the model whose critical exponent is beta.
We find nu = beta = 1 independent of the correlation degree. We presen
t a Monte Carlo simulation of the process which gives a good agreement
with the theoretical results.