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This lecture covers the FKG inequality in the context of percolation theory, discussing the concept of bond percolation and the reverse FKG theorem. It explores the implications of increasing events and the behavior of paths in percolation models, with a focus on the vande Bag-Kesten percolation. The presentation also delves into the work of renowned physicists Fa, Kasalegn, and Ginilene in this field.