Gross Wilson
04/25/2024 · Middle School
Which of the following values could represent the probability of an event? A. -1 B. 0.05 C. \( \frac{8}{6} \) D. \( 225 \% \) mine the probability of each event occurring as a fraction, decimal, and per
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To determine which of the given values could represent the probability of an event, we need to remember that the probability of an event must be between 0 and 1, inclusive. This means that valid probabilities can be expressed as:
- A decimal between 0 and 1 (e.g., 0.05)
- A fraction between 0 and 1 (e.g., \( \frac{1}{2} \))
- A percentage between 0% and 100% (e.g., 50%)
Now, let's evaluate each option:
A. **-1**: This is not a valid probability because it is less than 0.
B. **0.05**: This is a valid probability. It can be expressed as:
- Fraction: \( \frac{5}{100} \) or simplified to \( \frac{1}{20} \)
- Decimal: 0.05
- Percentage: 5%
C. **\( \frac{8}{6} \)**: This is not a valid probability because it simplifies to \( \frac{4}{3} \), which is greater than 1.
D. **\( 225\% \)**: This is not a valid probability because it is greater than 100%.
In summary, the only value that could represent the probability of an event is:
**B. 0.05**
Here are the representations for 0.05:
- Fraction: \( \frac{1}{20} \)
- Decimal: 0.05
- Percentage: 5%
Quick Answer
The only valid probability is B. 0.05.
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