  This paper is concerned with the apparent greatest weakness of the
Mathematical Theory of Evidence (MTE) of Shafer \cite{Shafer:76}, which has
been strongly criticized by Wasserman \cite{Wasserman:92ijar} - the
relationship to frequencies.
  Weaknesses of various proposals of probabilistic interpretation of MTE belief
functions are demonstrated.
  A new frequency-based interpretation is presented overcoming various
drawbacks of earlier interpretations.
