## Convergence of non increasing sequence of random number

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?

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 Mentor Hint: If c is such a constant, what about c-1?

 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?

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