What does the notation $2^{-\Omega(n)}$ mean in probability?

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When I read papers in theoretical computer science, I see the notation $probability<2^{-\Omega(n)}$ to denote the probability.

My queestion is

What Does $\Omega$ mean? Is it the same as in complexity theory?

Example1:

https://arxiv.org/pdf/1211.7184.pdf . The last sentence of the Theorem 2.

Example2:

$1-e^{-1/3}-e^{-\Omega(n)}=\Omega(1)$.

page 40 in https://link.springer.com/book/10.1007/978-3-642-16544-3

or you can see the last sencence in the picture. enter image description here