Two students,Anil and Ashima,appeared in an e | vedclass

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(A) Let $E$ and $F$ denote the events that Anil and Ashima will qualify the examination,respectively.Given that $P(E) = 0.05$,$P(F) = 0.10$,and $P(E \

Vedclass · Accepted Answer

$0.11$

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(A) Let $E$ and $F$ denote the events that Anil and Ashima will qualify the examination,respectively.Given that $P(E) = 0.05$,$P(F) = 0.10$,and $P(E \cap F) = 0.02$.The event that only one of them will qualify the examination is given by $(E \cap F') \cup (E' \cap F)$,where $E'$ and $F'$ are the complements of $E$ and $F$ respectively.Since these events are mutually exclusive,the probability is:$P(	ext{only one}) = P(E \cap F') + P(E' \cap F)$$= [P(E) - P(E \cap F)] + [P(F) - P(E \cap F)]$$= (0.05 - 0.02) + (0.10 - 0.02)$$= 0.03 + 0.08 = 0.11$.

List-$I$	List-$II$
$(i) \ P(A \cap B)$	$(1) \ 0.4$
$(ii) \ P(A \cap \bar{B})$	$(2) \ 0.2$
$(iii) \ P(\bar{A} \cap B)$	$(3) \ 0.3$
$(iv) \ P(\bar{A} \cap \bar{B})$	$(4) \ 0.1$

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