43
Subjective
Match the following.
| Column I | Column II | ||
|---|---|---|---|
| (i) | If $E_1$ and $E_2$ are the two mutually exclusive events | (a) | $E_1 \cap E_2=E_1$ |
| (ii) | If $E_1$ and $E_2$ are the mutually exclusive and exhaustive events | (b) | $\left(E_1-E_2\right) \cup\left(E_1 \cap E_2\right)=E_1$ |
| (iii) | If $E_1$ and $E_2$ have common outcomes, then | (c) | $E_1 \cap E_2=\phi, E_1 \cup E_2=S$ |
| (iv) | If $E_1$ and $E_2$ are two events such that $E_1 \subset E_2$ | (d) | $E_1 \cap E_2=\phi$ |
Explanation
(i) If $E_1$ and $E_2$ are two mutually exclusive event, then $E_1 \cap E_2=\phi$.
(ii) If $E_1$ and $E_2$ are mutually exclusive and exhaustive events, then $E_1 \cap E_2=\phi$ and $E_1 \cup E_2=S$.
(iii) If $E_1$ and $E_2$ have common outcomes, then $\left(E_1-E_2\right) \cup\left(E_1 \cap E_2\right)=E_1$
(iv) If $E_1$ and $E_2$ are two events such that $E_1 \subset E_2 \Rightarrow E_1 \cap E_2=E_1$
