1.3.1 Answer true or false. Justify your answer.

(i) If A and B are distinct events (i,e., A # B) such that A and BC are disjoint, then AC and B are also disjoint.

(ii) If A and B are disjoint, then AC and BC are also disjoint.

(iii) If A and B are disjoint, and also B and C are disjoint, then A and C are disjoint.

(iv) If A and B are both contained in C, then Cc c AC n B".

(v) If A is contained in B, C is contained in D , and B is disjoint from D, then A is disjoint from C.

(vi) If A U BC = BC,th en B c AC.