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My understanding is that he didn't try to commit suicide, but was assaulted in the previous event. His cellie, Nick Tartaglione, is a convicted murderer, and immensely strong, highly trained, and deadly. Had Tartaglione been the assailant, Epstein would have been dead, but hints that Tartaglione actually prevented the assault, including that no charges have been filed against Tartaglione in the matter, indicate this is why Epstein was transferred to a single cell immediately prior to his murder.