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Question 14 Marks
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(a) If $E_1$ and $E_2$ are the two mutually exclusive events(i) $E_1 \cap E_2=E_1$
(b) If $E_1$ and $E_2$ are the mutually exclusive and exhaustive events(ii) $\left(E_1-E_2\right) \cup\left(E_1 \cap E_2\right)=E_1$
(c) If $E_1$ and $E_2$ have common outcomes, then If $E_1$ and $E_2$ are two events such that(iii) $E_1 \cap E_2=\phi, E_1 \cup E_2=S$,
(d) $E_1 \subset E_2$(iv) $E_1 \cap E_2=\phi$
Answer
(a) ↔ (iv), (b) ↔ (iii), (c) ↔ (ii), (d) ↔ (i)
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