1. The set A - B
  2. The set A ∩ B 
  3. The set A’ or S-A 
  4. The set A ∪ B 
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1 Answers

Option 3 : The set A’ or S-A 

Concept:

The complementary event of an event A is the set of all possible outcomes that deny the occurrence of event A or it is the complement of set A, i.e. A' and it is also equal to the remaining elements of a sample space that is S - A

Explanation:

On checking options -

Option (i) is false as A - B is the difference set which means the set of all those elements which are only in A but not in B, which is clearly not set A'.

Option (ii) is false as A ∩ B is the intersection of set A and set B which means the set of all those elements which are common to set A and set B.

Option (iii) is true from above concept.

Option (iv) is false as  A ∪ B is the union of set A and set B which means the set of all those elements which are in A or B or A and B both.

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