If P(E) = 0.05, what is the probability of ‘not E’?
Step-by-Step Solution
Key Concept: Use the complement rule: For any event E, the probability of its complement ‘not E’ is given by \(P(\text{not }E) = 1 - P(E)\).
1. Write down the given probability:
$$P(E) = 0.05$$
2. Apply the complement rule:
$$P(\text{not }E) = 1 - P(E)$$
3. Substitute the given value:
$$P(\text{not }E) = 1 - 0.05$$
4. Perform the subtraction:
$$P(\text{not }E) = 0.95$$
Thus, the probability of the event ‘not E’ is \(0.95\).
Correct Answer: 0.95