Question

If \( P(E) = \), then:

• A. \( 1 - P(E) \)
• B. \( 1 + P(E) \)
• C. \( P(E) - 1 \)
• D. None of these

Hint:

For any event \( E \), the sum of the probability of \( E \) and the probability of its complement is always 1. That is: \( P(E) + P(\text{not } E) = 1 \).

Answer 1

The Correct Option is A

Step 1: Understand the relationship for complementary events
The probability of the complement of an event \( E \) is given by: \[ P(\text{not } E) = 1 - P(E) \] This represents the probability that event \( E \) does not occur. 
Step 2: Identify the correct option
The correct formula for the probability of the complement of event \( E \) is \( 1 - P(E) \). 
Step 3: Conclusion 
Therefore, the correct option is \( (1) \).