  We study a class of random transformations built over finitely many
intermittent maps sharing a common indifferent fixed point. Using a Young-tower
technique, we show that the map with the fastest relaxation rate dominates the
asymptotics. In particular, we prove that the rate of correlation decay for the
annealed dynamics of the random map is the same as the sharp rate of
correlation decay for the map with the fastest relaxation rate.
