Talk:Event (probability theory)

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The opening sentence is inaccurate and misleading.

To state that a subset of a sample space is an event yields a disconnect with the measure theoretic foundations of probability theory. In this theory, a probability is an example of a measure; in particular, it is the measure of an event. It is NOT the measure of the outcome of an event.

In uni-variate statistical modeling to apply the measure of "probability" to the right mathematical concept is not particularly important. In multi-variate statistical modeling it is crucial, for rather than being described by a single state of nature, an event is described by two of them; only one of these states is this event's outcome.Terry Oldberg (talk) 20:34, 15 July 2015 (UTC)[reply]

that's fair, an an important distinction; could you propose a better wording of the phrase in question, that would still make the article accessible to a wide audience? you are right that you cannot completely get away from the measure theoretic aspects, but bringing them in right away can present an impossibly steep learning curve to a general audience Benjamin Schulz (talk) 04:59, 21 March 2021 (UTC)[reply]