The paper presents the algorithm "Probabilistic Inference with Tabling and Answer subsumption" (PITA) for computing the probability of queries from Logic Programs with Annotated Disjunctions. PITA is based on a program transformation techniques that adds an extra argument to every atom. PITA uses tabling for saving intermediate results and answer subsumption for combining different answers for the same subgoal. PITA has been implemented in XSB and compared with the ProbLog, cplint and CVE systems. The results show that in almost all cases, PITA is able to solve larger problems and is faster than competing algorithms.