$S$ is the sample space and $A, B$ are two events of a random experiment. Match the items of List-$A$ with the items of List-$B$.

List-$A$	List-$B$
$(I)$ $A, B$ are mutually exclusive events	$(i)$ $P(A \cap B) = P(B) - P(\bar{A})$
$(II)$ $A, B$ are independent events	$(ii)$ $P(A) \leq P(B)$
$(III)$ $A \cap B = A$	$(iii)$ $P(\frac{\bar{A}}{B}) = 1 - P(A)$
$(IV)$ $A \cup B = S$	$(iv)$ $P(A \cup B) = P(A) + P(B)$
	$(v)$ $P(A) + P(B) = 2$

• A
  $(I)$-$(iv)$,$(II)$-$(iii)$,$(III)$-$(ii)$,$(IV)$-$(i)$
• B
  $(I)$-$(i)$,$(II)$-$(iii)$,$(III)$-$(v)$,$(IV)$-$(ii)$
• C
  $(I)$-$(iv)$,$(II)$-$(iii)$,$(III)$-$(ii)$,$(IV)$-$(i)$
• D
  $(I)$-$(ii)$,$(II)$-$(iv)$,$(III)$-$(i)$,$(IV)$-$(iii)$