  The Dempster-Shafer theory of evidence accumulation is one of the main tools
for combining data obtained from multiple sources. In this paper a special case
of combination of two bodies of evidence with non-zero conflict coefficient is
considered. It is shown that application of the Dempster-Shafer rule of
combination in this case leads to an evaluation of masses of the combined
bodies that is different from the evaluation of the corresponding probabilities
obtained by application of the law of total probability. This finding supports
the view that probabilistic interpretation of results of the Dempster-Shafer
analysis in the general case is not appropriate.
