  We present a systematic study of X-ray cavities using archival Chandra
observations of nearby galaxy clusters selected by their Sunyaev-Zel'dovich
(SZ) signature in the Planck survey, which provides a nearly unbiased
mass-selected sample to explore the entire AGN feedback duty cycle. Based on
X-ray image analysis, we report that 30 of the 164 clusters show X-ray
cavities, which corresponds to a detection fraction of 18%. After correcting
for spatial resolution to match the high-$z$ SPT-SZ sample, the detection
fraction decreases to 9%, consistent with the high-z sample, hinting that the
AGN feedback has not evolved across almost 8 Gyrs. Our finding agrees with the
lack of evolution of cool-core clusters fraction. We calculate the cavity
power, P_{\rm cav}, and find that most systems of our sample have enough AGN
heating to offset the radiative losses of the intracluster medium.
