Set Notation in Probability: Clarifying the Meaning of Union and Intersection

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Homework Help Overview

The discussion revolves around understanding set notation in probability, specifically the meanings of union and intersection as represented by A∪B and A∩B. Participants are exploring the implications of these notations in the context of events occurring in probability theory.

Discussion Character

  • Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to clarify their understanding of union and intersection in probability, questioning whether A∪B indicates that A and B can occur together or separately, and whether A∩B means both events must occur.

Discussion Status

Some participants confirm the original poster's interpretations, noting that A∪B indeed represents an inclusive "or" and that A∩B indicates both events occurring. There is an ongoing exchange about the clarity of these concepts, with some participants expressing frustration over technical issues with rendering notation.

Contextual Notes

Participants mention issues with LaTeX rendering, which may affect the clarity of the notation being discussed.

Mesmer
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I'm having a little difficulty understaning the notation used in my probability class. Would someone tell me if I'm on the right track with it :)


[tex]A\cup B[/tex] is the event "either A or B or both." Does this mean that A and B can happen together and that A or B can happen alone?


[tex]A\cap B is the event "both A and B" Does this mean that both events MUST happen?[/tex]
 
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fore some reason latex is not rendering the images :(
 
Mesmer said:
I'm having a little difficulty understaning the notation used in my probability class. Would someone tell me if I'm on the right track with it :)


[tex]A\cupB[/tex] is the event "either A or B or both." Does this mean that A and B can happen together and that A or B can happen alone?
Yes, that is the "inclusive" or: A or B or both.

[tex]A\capB is the event "both A and B" Does this mean that both events MUST happen?[/tex]
Yes.

Now I'm getting a message that my reply is too short! How long does it have to be?
 
10 characters :p
 
Gib Z said:
10 characters :p

...and it doesn't even include space bars! :-p
 

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