Let ${E_1},{E_2},{E_3}$ be three arbitrary events of a sample space $S$. Consider the following statements which of the following statements are correct
Let ${E_1},{E_2},{E_3}$ be three arbitrary events of a sample space $S$. Consider the following statements which of the following statements are correct
- A
$P$ (only one of them occurs)
$ = P({\bar E_1}{E_2}{E_3} + {E_1}{\bar E_2}{E_3} + {E_1}{E_2}{\overline E _3})$
- B
$P$ (none of them occurs)
$ = P({\overline E _1} + {\overline E _2} + {\overline E _3})$
- C
$P$ (atleast one of them occurs)
$ = P({E_1} + {E_2} + {E_3})$
- D
$P$ (all the three occurs)$ = P({E_1} + {E_2} + {E_3})$
where $P({E_1})$denotes the probability of ${E_1}$ and ${\bar E_1}$ denotes complement of ${E_1}$.
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- [IIT 1991]