  We study the systole of a model of random hyperbolic 3-manifolds introduced
by Petri and Raimbault, answering a question posed in that same article. These
are compact manifolds with boundary constructed by randomly gluing truncated
tetrahedra along their faces. We prove that the limit, as the volume tends to
infinity, of the expected value of their systole exists and we give a closed
formula of it. Moreover, we compute a numerical approximation of this value.
