For any events and in a sample space
does not hold
Explanations for the correct option:
Step 1. Write the expression for the :
Therefore, option (A) is correct.
Explanations for incorrect options:
Option (B): does not hold
Step 2. Expression for the :
Here, the expression is correct.
Therefore, the option (B) is correct.
Option (C): , if A and B are disjoint.
Step 3. Expression for the :
For disjoint:
Here, the expression is incorrect.
Therefore, the option (C) is incorrect.
Hence, option (A) and (B) is the correct answer.