Alternative splicing and polyadenylation were observed pervasively in eukaryotic messenger RNAs. These alternative isoforms could either be consequences of physiological regulation or stochastic noise of RNA processing. To quantify the extent of stochastic noise in splicing and polyadenylation, we analyzed the alternative usage of splicing and polyadenylation sites in Entamoeba histolytica using RNA-Seq. First, we identified a large number of rarely spliced alternative junctions and then showed that the occurrence of these alternative splicing events is correlated with splicing site sequence, occurrence of constitutive splicing events and messenger RNA abundance. Our results implied the majority of these alternative splicing events are likely to be stochastic error of splicing machineries, and we estimated the corresponding error rates. Second, we observed extensive microheterogeneity of polyadenylation cleavage sites, and the extent of such microheterogeneity is correlated with the occurrence of constitutive cleavage events, suggesting most of such microheterogeneity is likely to be stochastic. Overall, we only observed a small fraction of alternative splicing and polyadenylation isoforms that are unlikely to be solely stochastic, implying the functional relevance of alternative splicing and polyadenylation in E. histolytica is limited. Lastly, we revised the gene models and annotated their 3′UTR in AmoebaDB, providing valuable resources to the community.