2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95608This study actually draws from and builds on an earlier paper (Kumar and Bhattacharya, 2002). Here we have basically added a neutrosophic dimension to the problem of determining the conditional probability that a financial fraud has been actually committed, given that no Type I error occurred while rejecting the null hypothesis H0: The observed first-digit frequencies approximate a Benford distribution; and accepting the alternative hypothesis H1: The observed first-digit frequencies do not approximate a Benford distribution. We have also suggested a conceptual model to implement such a neutrosophic fraud detection system.9 pagesGeneral Mathematics91B28, 47N30Conditional probability of actually detecting a financial fraud - a neutrosophic extension to Benford's lawtext