We generalise Ehrhard and Regnier\u2019s Taylor expansion from pure to probabilistic \u3bb-terms. We prove that the Taylor expansion is adequate when seen as a way to give semantics to probabilistic \u3bb-terms, and that there is a precise correspondence with probabilistic B\uf6hm trees, as introduced by the second author. We prove this adequacy through notions of probabilistic resource terms and explicit Taylor expansion