Question

If \(P(E) = 0.05\), then the value of \(P(\overline{E})\) will be

• A. 0.92
• B. 0.93
• C. 0.94
• D. 0.95

Hint:

The probability of the complement of an event is always \(1 - P(E)\).

Answer 1

The Correct Option is D

Step 1: Recall the basic probability rule.
\[ P(E) + P(\overline{E}) = 1 \] Step 2: Substitute the value of \(P(E)\).
\[ 0.05 + P(\overline{E}) = 1 \implies P(\overline{E}) = 1 - 0.05 = 0.95 \] Step 3: Conclusion.
Therefore, the value of \(P(\overline{E})\) is 0.95.