<br /> Abstract: <br /> Recently van den Berg and Kahn proved a quite surprizing <br /> (heuristically not clear) inequality for some connectivity <br /> events in percolation. In this talk I will describe an FKG <br /> type of correlation inequality (valid for random cluster <br /> measures possibly conditioned on a disconnection event) <br /> which includes the van den Berg-Kahn inequality as a specific <br /> example. <br /> <br /> <br /> <br />