# Convergence of non increasing sequence of random number

 P: 2 I have a non-increasing sequence of random variables $\{Y_n\}$ which is bounded below by a constant $c$, $\forall \omega \in \Omega$. i.e $\forall \omega \in \Omega$, $Y_n \geq c$, $\forall n$. Is it true that the sequence will converge to $c$ almost surely? Thanks