\#1 il Listen Describe the likelihood of the event given its probability. You randomly guess the correct answer of a multiple choice question $$ \frac{1}{4} $$ of the time. certain likely equally likely to happen or not happen unlikely impossible

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To describe the likelihood of randomly guessing the correct answer to a multiple choice question with a probability of $$ \frac{1}{4} $$, we can analyze the probability value:

1. **Probability Interpretation**:
   - A probability of $$ \frac{1}{4} $$ means that out of 4 attempts, you would expect to get the correct answer once on average.
   - This indicates that there is a chance of success, but it is not very high.

2. **Likelihood Categories**:
   - **Certain**: This would mean a probability of 1 (100% chance), which is not the case here.
   - **Likely**: This would imply a probability greater than 0.5 (more than 50% chance), which is also not applicable.
   - **Equally likely to happen or not happen**: This would correspond to a probability of 0.5, which is not the case here.
   - **Unlikely**: This would suggest a probability less than 0.5 but greater than 0, which fits our scenario since $$ \frac{1}{4} = 0.25 $$.
   - **Impossible**: This would mean a probability of 0, which is not true since there is a chance of guessing correctly.

Given this analysis, the correct description of the likelihood of randomly guessing the correct answer is:

**Unlikely**.
The likelihood of randomly guessing the correct answer is unlikely.

\#1 il Listen Describe the likelihood of the event given its probability. You randomly guess the correct answer of a multiple choice question \( \frac{1}{4} \) of the time. certain likely equally likely to happen or not happen unlikely impossible

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