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If P(E)=0.08, What is the probability of...

If `P(E)=0.08`, What is the probability of not `E`.

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To find the probability of not event E, we can use the relationship between the probability of an event and the probability of its complement. Here are the steps to solve the problem: ### Step-by-Step Solution: 1. **Understand the Given Information**: We are given that \( P(E) = 0.08 \). 2. **Use the Complement Rule**: The probability of the complement of event E, denoted as \( P(\bar{E}) \) or \( P(\text{not } E) \), can be found using the formula: \[ P(\bar{E}) = 1 - P(E) \] 3. **Substitute the Given Probability**: Now, substitute the value of \( P(E) \) into the formula: \[ P(\bar{E}) = 1 - 0.08 \] 4. **Perform the Calculation**: Calculate the result: \[ P(\bar{E}) = 1 - 0.08 = 0.92 \] 5. **Conclusion**: Therefore, the probability of not E is: \[ P(\bar{E}) = 0.92 \] ### Final Answer: The probability of not E is \( 0.92 \). ---
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