Question

E₁ and E₂ are mutually exclusive, then \(E_1∩ E_2=\)

• A. 1
• B. 5
• C. \(\phi\)
• D. None of these

Answer 1

The Correct Option is C

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, \( E_1 \cap E_2 = \phi \).