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. Match List-$I$ with List-$II$ and select the correct option.
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
    $(i)-3, (ii)-4, (iii)-2, (iv)-1$

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