Then given a sample from the probability space the value of the derivative is .

In this situation, the acceptance rate can now be made reasonable, but the exploration of the probability space becomes increasingly slow.

Suppose the state of the market can be represented by the filtered probability space,.

Another important example is provided by a probability space (X, μ).

Let (E) be a sequence of events in some probability space.

I imagine the possible universes arrayed around me in a kind of probability space.

Example for a probability space: Let denote the unit interval.

Let be a random variable in some probability space .

In many situations, this means that one does not have to be explicit about what the probability space is.

After completion one gets a probability space that is not necessarily standard.