Probability space of output voltage measured at the terminals of a power supply

Question

I have been asked to find probability space of some problems in terms of ( $\Omega$ , $\mathcal {F}, \mathcal{P}$ ). I know that how to write in terms of discrete sequences. For example, I will probably write $\Omega$ as $\{ x : x \in x_i, i \in [1,10] , i \in \mathbb{N} ,x_i \in \{ 0,1 \} \} $ for the sample space of "Ten identical systems are branded as working or non working". The $ \mathcal{F}$ is probably all subsets of $ \Omega$ . And P is probability of subsets of $ \mathcal{F} $. So how do I approach this supposedly continuous time case. I know that it will be something of $ V+ \Delta V $. But I am just not getting how to write it.