Question

Two events \(E_1\) and \(E_2\) are mutually exclusive then \(E_1∩E_2 =\)

• A. 5
• B. 1
• C. \(\phi\)
• D. 0.5

Answer 1

The Correct Option is C

To solve the problem, we are given that two events \( E_1 \) and \( E_2 \) are mutually exclusive, and we are to find \( E_1 \cap E_2 \).

1. Understanding Mutually Exclusive Events:
Mutually exclusive events are events that cannot occur at the same time. That is, if one event happens, the other cannot happen.

Therefore, the intersection of mutually exclusive events is an empty set.

2. Definition of Intersection:
\[ E_1 \cap E_2 = \phi \]
This means there are no outcomes common to both events.

Final Answer:
The value of \( E_1 \cap E_2 \) is \({\phi} \) (Option C).