Set theory help...Set notation of verbal statements????? HELP!!!!!!!!!?

Question

Let A, B and C be three events associated with an experiment. Express the following verbal statements in set notation.

(i) None of the events occurs  
(ii) Only A occurs 
(iii) Only one of the events occurs
(iv) Atleast one of the events occurs
(v) Only A and B occur

Please provide the explanation as well 

Also what are the axioms of probability???

Billy · Accepted Answer

1) "I suppose you could take the complements of each and say {A~, B~, C~}"... you can also say (AuBuC)' by demorgan
2) its more like AB'C'
3) I think its AB'C' u A'BC' u A'B'C
4) this is a weird one, but I think this is simply A u B u C, which includes all possible events
5)   ABC'

Anonymous · Answer

1) I suppose you could take the complements of each and say {A~, B~, C~}
2) {A}
3) {A} or {B} ?
4) A U B

Set theory help...Set notation of verbal statements????? HELP!!!!!!!!!?

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