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Which of the following is wrong in case ...

Which of the following is wrong in case of representation of probability in percentage

A

Less than 100

B

Less than 0

C

Less than 1

D

Equal to 0

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding which representation of probability in percentage is wrong, we need to analyze the options provided based on the fundamental principles of probability. ### Step-by-Step Solution: 1. **Understanding Probability**: The probability of an event is defined as the ratio of the number of favorable outcomes to the total number of outcomes. Mathematically, it is expressed as: \[ P(E) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \] The value of probability \( P(E) \) ranges from 0 to 1. 2. **Converting Probability to Percentage**: To express probability as a percentage, we multiply the probability by 100. Therefore, the range of probability in percentage is from 0% to 100%. 3. **Analyzing the Options**: - **Option 1**: Less than 100% - This is valid because probabilities can be less than 100%. - **Option 2**: Less than 0% - This is invalid because probabilities cannot be negative. A probability less than 0% implies a negative probability, which is not possible. - **Option 3**: Less than 1% - This is valid because probabilities can be less than 1 (or 1%). - **Option 4**: Equal to 0% - This is valid as it represents an impossible event. 4. **Conclusion**: The only incorrect representation of probability in percentage is **Option 2: Less than 0%**. Thus, the answer to the question is that the wrong representation of probability in percentage is **Option 2**.
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