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

[Mesmer]

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 :)


$$A\cup B$$ 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?


$$A\cap B is the event "both A and B" Does this mean that both events MUST happen?$$

 

[Mesmer]

fore some reason latex is not rendering the images :(

 

[HallsofIvy]

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 :)


$$A\cupB$$ 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.

$$A\capB is the event "both A and B" Does this mean that both events MUST happen?$$

Yes.

Now I'm getting a message that my reply is too short! How long does it have to be?

 

[Gib Z]

10 characters :p

 

[radou]

10 characters :p

...and it doesn't even include space bars!