Let $A$ and $B$ be events in a sample space $S$ such that $P(A)=0.5, P(B)=0.4$ and $P(A \cup B)=0.6$. Observe the following lists. The correct match of List $I$ from List $II$ is:
List $I$List $II$
$(i) \ P(A \cap B)$$(1) \ 0.4$
$(ii) \ P(A \cap \bar{B})$$(2) \ 0.2$
$(iii) \ P(\bar{A} \cap B)$$(3) \ 0.3$
$(iv) \ P(\bar{A} \cap \bar{B})$$(4) \ 0.1$

  • A
    $(i)-(3), (ii)-(2), (iii)-(4), (iv)-(1)$
  • B
    $(i)-(3), (ii)-(2), (iii)-(1), (iv)-(4)$
  • C
    $(i)-(1), (ii)-(2), (iii)-(3), (iv)-(4)$
  • D
    $(i)-(3), (ii)-(1), (iii)-(2), (iv)-(4)$

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