A probabilistic semi-metric space $(S,F)$\ is said to be
\textit{\ of class $\mathcal{H}$ \ }([5])\textit{\ }
if there exists a metric $d$ on $S$ such that, 
for $t>0$,\[d(p,q)<t\Leftrightarrow F_{pq}(t)>1-t.\]
We will prove that $(S,F)$\textit{\ }is of class $\mathcal{H}$ 
iff the mapping $\mathbf{K}$, defined on $S\times S$\ \ 
by $\mathbf{K}\left( p,q\right) =\sup \{t\geq 0\mid t\leq
1-F_{pq}(t)\}$ is a metric on $S$. Two fixed point theorems for
multivalued contractions in probabilistic metric spaces
\textit{\ }are also proved. Incidentally, 
the equality of two well-known probabilistic metrics is obtained.