Convergence of non increasing sequence of random number

by ensei
Tags: convergence, probability, random-variable
 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
 Mentor P: 10,511 Hint: If c is such a constant, what about c-1?
P: 2
 Quote by mfb Hint: If c is such a constant, what about c-1?
All the elements of the sequence are bounded below by c. So, I am not sure what are you trying to say. can you please elaborate?

Math
Emeritus