This is an announcement for the paper "Bases of random unconditional convergence in Banach spaces" by J. Lopez-Abad and P. Tradacete. Abstract: We study random unconditional convergence for a basis in a Banach space. The connections between this notion and classical unconditionality are explored. In particular, we analyze duality relations, reflexivity, uniqueness of these bases and existence of unconditional subsequences. Archive classification: math.FA Mathematics Subject Classification: 46B09, 46B15 Submitted from: ptradace@math.uc3m.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1408.0478 or http://arXiv.org/abs/1408.0478