Question

2) A,B and C are three events. Express the following events in set notations. (10) 

 (i) Simultaneous occurrence of A,B and C.

 (ii) Occurrence of at least one of them. 

 (iii) Both A and B occur and C does not occur. 

 (iv) The event B but not A occurs. 

 (v) Not more than one of the events A,B and C occur.

Answer 1

(i) $A\cap B \cap C$

(ii) $A\cup B \cup C$

(iii) $A \cap B \setminus C$

(iv) $B\cap \overline{A}$

(v) $A\cap\overline{B}\cap\overline{C}\cup \overline{A}\cap B\cap \overline{C} \cup \overline{A}\cap \overline{B}\cap C$