Question

If \( P(E) = 0.4 \), then the value of \( P(E') \) is:

• A. 0.96
• B. 0.6
• C. 1
• D. 0.06

Hint:

The probability of the complement of an event is given by \( P(E') = 1 - P(E) \).

Answer 1

The Correct Option is B

The sum of the probabilities of an event and its complement is always 1: \[ P(E) + P(E') = 1. \] We are given that \( P(E) = 0.4 \), so: \[ P(E') = 1 - P(E) = 1 - 0.4 = 0.6. \] Thus, the correct answer is \( P(E') = 0.6 \).