View source for Example:Sample space for the height of a random person

Suppose we wished to model the following experiment: select a person from the room ([[uniformly]]), and measure their height.

One possible [[sample space]] for this experiment would be the set of possible heights (or even [[ℝ]]).  Another possible [[sample space]] would be the set of people in the room.

The former choice is more difficult to set up, because figuring out the [[probability]] of selecting a given height requires knowlege of the heights of the people in the room; choosing the latter is easier because one can use an [[equiprobable measure]].