E1 and E2 are mutually exclusive, then \(E_1∩ E_2=\)
- 1
- 5
- \(\phi\)
- None of these
The Correct Option is C
Solution and Explanation
Correct answer: \(\phi\)
Explanation:
Two events \( E_1 \) and \( E_2 \) are said to be mutually exclusive if they cannot occur at the same time. This means that the intersection of \( E_1 \) and \( E_2 \), denoted by \( E_1 \cap E_2 \), is the empty set, i.e., \( E_1 \cap E_2 = \emptyset \). Therefore, the value of \( E_1 \cap E_2 \) is \( \phi \), which represents the empty set.
Hence, \( E_1 \cap E_2 = \phi \).
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